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Finding the Fourth Proportional to 2,569.08, 3,853.19 and 925.32

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Solution

The fourth proportional to 2,569.08, 3,853.19 and 925.32 is: 1,387.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.08 : 3,853.19 = 925.32 : x
  2. Step 2: Convert to fraction form
    2,569.08/3,853.19 = 925.32/x
  3. Step 3: Cross multiply
    2,569.08x = 3,853.19 × 925.32
  4. Step 4: Simplify right side
    2,569.08x = 3,565,433.77
  5. Step 5: Solve for x
    x = 3,565,433.77/2,569.08
  6. Step 6: Final answer
    x = 1,387.83

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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.