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Finding the Fourth Proportional to 1,588.25, 2,381.91 and 614.13

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Solution

The fourth proportional to 1,588.25, 2,381.91 and 614.13 is: 921.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.25 : 2,381.91 = 614.13 : x
  2. Step 2: Convert to fraction form
    1,588.25/2,381.91 = 614.13/x
  3. Step 3: Cross multiply
    1,588.25x = 2,381.91 × 614.13
  4. Step 4: Simplify right side
    1,588.25x = 1,462,802.39
  5. Step 5: Solve for x
    x = 1,462,802.39/1,588.25
  6. Step 6: Final answer
    x = 921.02

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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.