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Finding the Fourth Proportional to 2,569.35, 3,853.11 and 925.46

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Solution

The fourth proportional to 2,569.35, 3,853.11 and 925.46 is: 1,387.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.35 : 3,853.11 = 925.46 : x
  2. Step 2: Convert to fraction form
    2,569.35/3,853.11 = 925.46/x
  3. Step 3: Cross multiply
    2,569.35x = 3,853.11 × 925.46
  4. Step 4: Simplify right side
    2,569.35x = 3,565,879.92
  5. Step 5: Solve for x
    x = 3,565,879.92/2,569.35
  6. Step 6: Final answer
    x = 1,387.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.