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Finding the Fourth Proportional to 1,588.24, 2,191.77 and 967.24

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Solution

The fourth proportional to 1,588.24, 2,191.77 and 967.24 is: 1,334.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.24 : 2,191.77 = 967.24 : x
  2. Step 2: Convert to fraction form
    1,588.24/2,191.77 = 967.24/x
  3. Step 3: Cross multiply
    1,588.24x = 2,191.77 × 967.24
  4. Step 4: Simplify right side
    1,588.24x = 2,119,976.64
  5. Step 5: Solve for x
    x = 2,119,976.64/1,588.24
  6. Step 6: Final answer
    x = 1,334.79

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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.