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Finding the Fourth Proportional to 3,078.48, 4,248.48 and 2,294.64

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Solution

The fourth proportional to 3,078.48, 4,248.48 and 2,294.64 is: 3,166.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.48 : 4,248.48 = 2,294.64 : x
  2. Step 2: Convert to fraction form
    3,078.48/4,248.48 = 2,294.64/x
  3. Step 3: Cross multiply
    3,078.48x = 4,248.48 × 2,294.64
  4. Step 4: Simplify right side
    3,078.48x = 9,748,732.15
  5. Step 5: Solve for x
    x = 9,748,732.15/3,078.48
  6. Step 6: Final answer
    x = 3,166.74

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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.