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Finding the Fourth Proportional to 2,708.02, 4,062.84 and 1,410.40

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Solution

The fourth proportional to 2,708.02, 4,062.84 and 1,410.40 is: 2,116.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.02 : 4,062.84 = 1,410.40 : x
  2. Step 2: Convert to fraction form
    2,708.02/4,062.84 = 1,410.40/x
  3. Step 3: Cross multiply
    2,708.02x = 4,062.84 × 1,410.40
  4. Step 4: Simplify right side
    2,708.02x = 5,730,229.54
  5. Step 5: Solve for x
    x = 5,730,229.54/2,708.02
  6. Step 6: Final answer
    x = 2,116.02

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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.