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Finding the Fourth Proportional to 2,708.16, 3,729.40 and 2,410.08

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Solution

The fourth proportional to 2,708.16, 3,729.40 and 2,410.08 is: 3,318.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.16 : 3,729.40 = 2,410.08 : x
  2. Step 2: Convert to fraction form
    2,708.16/3,729.40 = 2,410.08/x
  3. Step 3: Cross multiply
    2,708.16x = 3,729.40 × 2,410.08
  4. Step 4: Simplify right side
    2,708.16x = 8,988,152.35
  5. Step 5: Solve for x
    x = 8,988,152.35/2,708.16
  6. Step 6: Final answer
    x = 3,318.91

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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.