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Finding the Fourth Proportional to 2,098.83, 3,148.39 and 712.31

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Solution

The fourth proportional to 2,098.83, 3,148.39 and 712.31 is: 1,068.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.83 : 3,148.39 = 712.31 : x
  2. Step 2: Convert to fraction form
    2,098.83/3,148.39 = 712.31/x
  3. Step 3: Cross multiply
    2,098.83x = 3,148.39 × 712.31
  4. Step 4: Simplify right side
    2,098.83x = 2,242,629.68
  5. Step 5: Solve for x
    x = 2,242,629.68/2,098.83
  6. Step 6: Final answer
    x = 1,068.51

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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.