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Finding the Fourth Proportional to 2,385.14, 3,577.26 and 741.62

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Solution

The fourth proportional to 2,385.14, 3,577.26 and 741.62 is: 1,112.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.14 : 3,577.26 = 741.62 : x
  2. Step 2: Convert to fraction form
    2,385.14/3,577.26 = 741.62/x
  3. Step 3: Cross multiply
    2,385.14x = 3,577.26 × 741.62
  4. Step 4: Simplify right side
    2,385.14x = 2,652,967.56
  5. Step 5: Solve for x
    x = 2,652,967.56/2,385.14
  6. Step 6: Final answer
    x = 1,112.29

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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.