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Finding the Fourth Proportional to 2,569.37, 3,853.04 and 925.34

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Solution

The fourth proportional to 2,569.37, 3,853.04 and 925.34 is: 1,387.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.37 : 3,853.04 = 925.34 : x
  2. Step 2: Convert to fraction form
    2,569.37/3,853.04 = 925.34/x
  3. Step 3: Cross multiply
    2,569.37x = 3,853.04 × 925.34
  4. Step 4: Simplify right side
    2,569.37x = 3,565,348.14
  5. Step 5: Solve for x
    x = 3,565,348.14/2,569.37
  6. Step 6: Final answer
    x = 1,387.64

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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.