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Finding the Fourth Proportional to 2,708.80, 4,065.36 and 1,410.72

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Solution

The fourth proportional to 2,708.80, 4,065.36 and 1,410.72 is: 2,117.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.80 : 4,065.36 = 1,410.72 : x
  2. Step 2: Convert to fraction form
    2,708.80/4,065.36 = 1,410.72/x
  3. Step 3: Cross multiply
    2,708.80x = 4,065.36 × 1,410.72
  4. Step 4: Simplify right side
    2,708.80x = 5,735,084.66
  5. Step 5: Solve for x
    x = 5,735,084.66/2,708.80
  6. Step 6: Final answer
    x = 2,117.20

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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.