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Finding the Fourth Proportional to 1,583.97, 2,374.41 and 761.78

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Solution

The fourth proportional to 1,583.97, 2,374.41 and 761.78 is: 1,141.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.97 : 2,374.41 = 761.78 : x
  2. Step 2: Convert to fraction form
    1,583.97/2,374.41 = 761.78/x
  3. Step 3: Cross multiply
    1,583.97x = 2,374.41 × 761.78
  4. Step 4: Simplify right side
    1,583.97x = 1,808,766.18
  5. Step 5: Solve for x
    x = 1,808,766.18/1,583.97
  6. Step 6: Final answer
    x = 1,141.92

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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.