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Finding the Fourth Proportional to 1,583.49, 2,375.76 and 761.66

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Solution

The fourth proportional to 1,583.49, 2,375.76 and 761.66 is: 1,142.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.49 : 2,375.76 = 761.66 : x
  2. Step 2: Convert to fraction form
    1,583.49/2,375.76 = 761.66/x
  3. Step 3: Cross multiply
    1,583.49x = 2,375.76 × 761.66
  4. Step 4: Simplify right side
    1,583.49x = 1,809,511.61
  5. Step 5: Solve for x
    x = 1,809,511.61/1,583.49
  6. Step 6: Final answer
    x = 1,142.74

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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.