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Finding the Fourth Proportional to 2,899.55, 4,349.31 and 708.28

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Solution

The fourth proportional to 2,899.55, 4,349.31 and 708.28 is: 1,062.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,899.55 : 4,349.31 = 708.28 : x
  2. Step 2: Convert to fraction form
    2,899.55/4,349.31 = 708.28/x
  3. Step 3: Cross multiply
    2,899.55x = 4,349.31 × 708.28
  4. Step 4: Simplify right side
    2,899.55x = 3,080,529.29
  5. Step 5: Solve for x
    x = 3,080,529.29/2,899.55
  6. Step 6: Final answer
    x = 1,062.42

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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.