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Finding the Fourth Proportional to 2,385.97, 3,577.39 and 925.27

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Solution

The fourth proportional to 2,385.97, 3,577.39 and 925.27 is: 1,387.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.97 : 3,577.39 = 925.27 : x
  2. Step 2: Convert to fraction form
    2,385.97/3,577.39 = 925.27/x
  3. Step 3: Cross multiply
    2,385.97x = 3,577.39 × 925.27
  4. Step 4: Simplify right side
    2,385.97x = 3,310,051.65
  5. Step 5: Solve for x
    x = 3,310,051.65/2,385.97
  6. Step 6: Final answer
    x = 1,387.30

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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.