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Finding the Fourth Proportional to 4,854.46, 7,281.54 and 1,344.68

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Solution

The fourth proportional to 4,854.46, 7,281.54 and 1,344.68 is: 2,016.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,854.46 : 7,281.54 = 1,344.68 : x
  2. Step 2: Convert to fraction form
    4,854.46/7,281.54 = 1,344.68/x
  3. Step 3: Cross multiply
    4,854.46x = 7,281.54 × 1,344.68
  4. Step 4: Simplify right side
    4,854.46x = 9,791,341.21
  5. Step 5: Solve for x
    x = 9,791,341.21/4,854.46
  6. Step 6: Final answer
    x = 2,016.98

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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.