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Finding the Fourth Proportional to 1,589.40, 2,193.21 and 881.24

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Solution

The fourth proportional to 1,589.40, 2,193.21 and 881.24 is: 1,216.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.40 : 2,193.21 = 881.24 : x
  2. Step 2: Convert to fraction form
    1,589.40/2,193.21 = 881.24/x
  3. Step 3: Cross multiply
    1,589.40x = 2,193.21 × 881.24
  4. Step 4: Simplify right side
    1,589.40x = 1,932,733.41
  5. Step 5: Solve for x
    x = 1,932,733.41/1,589.40
  6. Step 6: Final answer
    x = 1,216.01

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.