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Finding the Fourth Proportional to 2,659.31, 3,669.86 and 1,480.46

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Solution

The fourth proportional to 2,659.31, 3,669.86 and 1,480.46 is: 2,043.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.31 : 3,669.86 = 1,480.46 : x
  2. Step 2: Convert to fraction form
    2,659.31/3,669.86 = 1,480.46/x
  3. Step 3: Cross multiply
    2,659.31x = 3,669.86 × 1,480.46
  4. Step 4: Simplify right side
    2,659.31x = 5,433,082.71
  5. Step 5: Solve for x
    x = 5,433,082.71/2,659.31
  6. Step 6: Final answer
    x = 2,043.04

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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.