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Finding the Fourth Proportional to 1,588.41, 2,191.96 and 880.23

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Solution

The fourth proportional to 1,588.41, 2,191.96 and 880.23 is: 1,214.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.41 : 2,191.96 = 880.23 : x
  2. Step 2: Convert to fraction form
    1,588.41/2,191.96 = 880.23/x
  3. Step 3: Cross multiply
    1,588.41x = 2,191.96 × 880.23
  4. Step 4: Simplify right side
    1,588.41x = 1,929,438.27
  5. Step 5: Solve for x
    x = 1,929,438.27/1,588.41
  6. Step 6: Final answer
    x = 1,214.70

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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.