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Finding the Fourth Proportional to 2,677.60, 4,019.28 and 1,378.72

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Solution

The fourth proportional to 2,677.60, 4,019.28 and 1,378.72 is: 2,069.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.60 : 4,019.28 = 1,378.72 : x
  2. Step 2: Convert to fraction form
    2,677.60/4,019.28 = 1,378.72/x
  3. Step 3: Cross multiply
    2,677.60x = 4,019.28 × 1,378.72
  4. Step 4: Simplify right side
    2,677.60x = 5,541,461.72
  5. Step 5: Solve for x
    x = 5,541,461.72/2,677.60
  6. Step 6: Final answer
    x = 2,069.56

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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.