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Finding the Fourth Proportional to 2,657.79, 3,669.39 and 1,713.92

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Solution

The fourth proportional to 2,657.79, 3,669.39 and 1,713.92 is: 2,366.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.79 : 3,669.39 = 1,713.92 : x
  2. Step 2: Convert to fraction form
    2,657.79/3,669.39 = 1,713.92/x
  3. Step 3: Cross multiply
    2,657.79x = 3,669.39 × 1,713.92
  4. Step 4: Simplify right side
    2,657.79x = 6,289,040.91
  5. Step 5: Solve for x
    x = 6,289,040.91/2,657.79
  6. Step 6: Final answer
    x = 2,366.27

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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.