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Finding the Fourth Proportional to 1,593.17, 2,389.14 and 619.14

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Solution

The fourth proportional to 1,593.17, 2,389.14 and 619.14 is: 928.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.17 : 2,389.14 = 619.14 : x
  2. Step 2: Convert to fraction form
    1,593.17/2,389.14 = 619.14/x
  3. Step 3: Cross multiply
    1,593.17x = 2,389.14 × 619.14
  4. Step 4: Simplify right side
    1,593.17x = 1,479,212.14
  5. Step 5: Solve for x
    x = 1,479,212.14/1,593.17
  6. Step 6: Final answer
    x = 928.47

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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.