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Finding the Fourth Proportional to 3,078.15, 4,248.50 and 2,418

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Solution

The fourth proportional to 3,078.15, 4,248.50 and 2,418 is: 3,337.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.15 : 4,248.50 = 2,418 : x
  2. Step 2: Convert to fraction form
    3,078.15/4,248.50 = 2,418/x
  3. Step 3: Cross multiply
    3,078.15x = 4,248.50 × 2,418
  4. Step 4: Simplify right side
    3,078.15x = 10,272,860.91
  5. Step 5: Solve for x
    x = 10,272,860.91/3,078.15
  6. Step 6: Final answer
    x = 3,337.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.