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Finding the Fourth Proportional to 1,614.70, 2,422.17 and 781.51

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Solution

The fourth proportional to 1,614.70, 2,422.17 and 781.51 is: 1,172.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.70 : 2,422.17 = 781.51 : x
  2. Step 2: Convert to fraction form
    1,614.70/2,422.17 = 781.51/x
  3. Step 3: Cross multiply
    1,614.70x = 2,422.17 × 781.51
  4. Step 4: Simplify right side
    1,614.70x = 1,892,950.08
  5. Step 5: Solve for x
    x = 1,892,950.08/1,614.70
  6. Step 6: Final answer
    x = 1,172.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.