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Finding the Fourth Proportional to 2,385.25, 3,577.70 and 741.66

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Solution

The fourth proportional to 2,385.25, 3,577.70 and 741.66 is: 1,112.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.25 : 3,577.70 = 741.66 : x
  2. Step 2: Convert to fraction form
    2,385.25/3,577.70 = 741.66/x
  3. Step 3: Cross multiply
    2,385.25x = 3,577.70 × 741.66
  4. Step 4: Simplify right side
    2,385.25x = 2,653,425.42
  5. Step 5: Solve for x
    x = 2,653,425.42/2,385.25
  6. Step 6: Final answer
    x = 1,112.43

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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.