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Finding the Fourth Proportional to 1,543.24, 2,314.38 and 517

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Solution

The fourth proportional to 1,543.24, 2,314.38 and 517 is: 775.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.24 : 2,314.38 = 517 : x
  2. Step 2: Convert to fraction form
    1,543.24/2,314.38 = 517/x
  3. Step 3: Cross multiply
    1,543.24x = 2,314.38 × 517
  4. Step 4: Simplify right side
    1,543.24x = 1,196,534.46
  5. Step 5: Solve for x
    x = 1,196,534.46/1,543.24
  6. Step 6: Final answer
    x = 775.34

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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.