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Finding the Fourth Proportional to 1,543.68, 2,315.52 and 389.43

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Solution

The fourth proportional to 1,543.68, 2,315.52 and 389.43 is: 584.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.68 : 2,315.52 = 389.43 : x
  2. Step 2: Convert to fraction form
    1,543.68/2,315.52 = 389.43/x
  3. Step 3: Cross multiply
    1,543.68x = 2,315.52 × 389.43
  4. Step 4: Simplify right side
    1,543.68x = 901,732.95
  5. Step 5: Solve for x
    x = 901,732.95/1,543.68
  6. Step 6: Final answer
    x = 584.15

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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.