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Finding the Fourth Proportional to 2,659.89, 3,666.87 and 1,913.61

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Solution

The fourth proportional to 2,659.89, 3,666.87 and 1,913.61 is: 2,638.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.89 : 3,666.87 = 1,913.61 : x
  2. Step 2: Convert to fraction form
    2,659.89/3,666.87 = 1,913.61/x
  3. Step 3: Cross multiply
    2,659.89x = 3,666.87 × 1,913.61
  4. Step 4: Simplify right side
    2,659.89x = 7,016,959.10
  5. Step 5: Solve for x
    x = 7,016,959.10/2,659.89
  6. Step 6: Final answer
    x = 2,638.06

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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.