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Finding the Fourth Proportional to 1,421.59, 2,132.14 and 381.70

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Solution

The fourth proportional to 1,421.59, 2,132.14 and 381.70 is: 572.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.59 : 2,132.14 = 381.70 : x
  2. Step 2: Convert to fraction form
    1,421.59/2,132.14 = 381.70/x
  3. Step 3: Cross multiply
    1,421.59x = 2,132.14 × 381.70
  4. Step 4: Simplify right side
    1,421.59x = 813,837.84
  5. Step 5: Solve for x
    x = 813,837.84/1,421.59
  6. Step 6: Final answer
    x = 572.49

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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.