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Finding the Fourth Proportional to 1,841.41, 2,761.62 and 524.87

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Solution

The fourth proportional to 1,841.41, 2,761.62 and 524.87 is: 787.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841.41 : 2,761.62 = 524.87 : x
  2. Step 2: Convert to fraction form
    1,841.41/2,761.62 = 524.87/x
  3. Step 3: Cross multiply
    1,841.41x = 2,761.62 × 524.87
  4. Step 4: Simplify right side
    1,841.41x = 1,449,491.49
  5. Step 5: Solve for x
    x = 1,449,491.49/1,841.41
  6. Step 6: Final answer
    x = 787.16

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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.