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Finding the Fourth Proportional to 2,363.38, 3,543.01 and 901.53

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Solution

The fourth proportional to 2,363.38, 3,543.01 and 901.53 is: 1,351.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.38 : 3,543.01 = 901.53 : x
  2. Step 2: Convert to fraction form
    2,363.38/3,543.01 = 901.53/x
  3. Step 3: Cross multiply
    2,363.38x = 3,543.01 × 901.53
  4. Step 4: Simplify right side
    2,363.38x = 3,194,127.55
  5. Step 5: Solve for x
    x = 3,194,127.55/2,363.38
  6. Step 6: Final answer
    x = 1,351.51

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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.