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Finding the Fourth Proportional to 2,489.51, 3,435.68 and 1,648.73

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Solution

The fourth proportional to 2,489.51, 3,435.68 and 1,648.73 is: 2,275.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.51 : 3,435.68 = 1,648.73 : x
  2. Step 2: Convert to fraction form
    2,489.51/3,435.68 = 1,648.73/x
  3. Step 3: Cross multiply
    2,489.51x = 3,435.68 × 1,648.73
  4. Step 4: Simplify right side
    2,489.51x = 5,664,508.69
  5. Step 5: Solve for x
    x = 5,664,508.69/2,489.51
  6. Step 6: Final answer
    x = 2,275.35

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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.