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Finding the Fourth Proportional to 2,644.59, 3,647.87 and 1,701.61

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Solution

The fourth proportional to 2,644.59, 3,647.87 and 1,701.61 is: 2,347.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.59 : 3,647.87 = 1,701.61 : x
  2. Step 2: Convert to fraction form
    2,644.59/3,647.87 = 1,701.61/x
  3. Step 3: Cross multiply
    2,644.59x = 3,647.87 × 1,701.61
  4. Step 4: Simplify right side
    2,644.59x = 6,207,233.83
  5. Step 5: Solve for x
    x = 6,207,233.83/2,644.59
  6. Step 6: Final answer
    x = 2,347.14

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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.