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Finding the Fourth Proportional to 1,432.42, 1,977.68 and 929.21

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Solution

The fourth proportional to 1,432.42, 1,977.68 and 929.21 is: 1,282.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.42 : 1,977.68 = 929.21 : x
  2. Step 2: Convert to fraction form
    1,432.42/1,977.68 = 929.21/x
  3. Step 3: Cross multiply
    1,432.42x = 1,977.68 × 929.21
  4. Step 4: Simplify right side
    1,432.42x = 1,837,672.47
  5. Step 5: Solve for x
    x = 1,837,672.47/1,432.42
  6. Step 6: Final answer
    x = 1,282.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.