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Finding the Fourth Proportional to 2,569.18, 3,854.61 and 925.42

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Solution

The fourth proportional to 2,569.18, 3,854.61 and 925.42 is: 1,388.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.18 : 3,854.61 = 925.42 : x
  2. Step 2: Convert to fraction form
    2,569.18/3,854.61 = 925.42/x
  3. Step 3: Cross multiply
    2,569.18x = 3,854.61 × 925.42
  4. Step 4: Simplify right side
    2,569.18x = 3,567,133.19
  5. Step 5: Solve for x
    x = 3,567,133.19/2,569.18
  6. Step 6: Final answer
    x = 1,388.43

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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.