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Finding the Fourth Proportional to 2,569.18, 3,856.18 and 1,337.46

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Solution

The fourth proportional to 2,569.18, 3,856.18 and 1,337.46 is: 2,007.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.18 : 3,856.18 = 1,337.46 : x
  2. Step 2: Convert to fraction form
    2,569.18/3,856.18 = 1,337.46/x
  3. Step 3: Cross multiply
    2,569.18x = 3,856.18 × 1,337.46
  4. Step 4: Simplify right side
    2,569.18x = 5,157,486.50
  5. Step 5: Solve for x
    x = 5,157,486.50/2,569.18
  6. Step 6: Final answer
    x = 2,007.44

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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.