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Finding the Fourth Proportional to 2,489.37, 3,435.49 and 1,648.61

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Solution

The fourth proportional to 2,489.37, 3,435.49 and 1,648.61 is: 2,275.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.37 : 3,435.49 = 1,648.61 : x
  2. Step 2: Convert to fraction form
    2,489.37/3,435.49 = 1,648.61/x
  3. Step 3: Cross multiply
    2,489.37x = 3,435.49 × 1,648.61
  4. Step 4: Simplify right side
    2,489.37x = 5,663,783.17
  5. Step 5: Solve for x
    x = 5,663,783.17/2,489.37
  6. Step 6: Final answer
    x = 2,275.19

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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.