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Finding the Fourth Proportional to 1,841.32, 2,761.68 and 524.96

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Solution

The fourth proportional to 1,841.32, 2,761.68 and 524.96 is: 787.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841.32 : 2,761.68 = 524.96 : x
  2. Step 2: Convert to fraction form
    1,841.32/2,761.68 = 524.96/x
  3. Step 3: Cross multiply
    1,841.32x = 2,761.68 × 524.96
  4. Step 4: Simplify right side
    1,841.32x = 1,449,771.53
  5. Step 5: Solve for x
    x = 1,449,771.53/1,841.32
  6. Step 6: Final answer
    x = 787.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.