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Finding the Fourth Proportional to 2,660.61, 3,674.25 and 1,778.52

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Solution

The fourth proportional to 2,660.61, 3,674.25 and 1,778.52 is: 2,456.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.61 : 3,674.25 = 1,778.52 : x
  2. Step 2: Convert to fraction form
    2,660.61/3,674.25 = 1,778.52/x
  3. Step 3: Cross multiply
    2,660.61x = 3,674.25 × 1,778.52
  4. Step 4: Simplify right side
    2,660.61x = 6,534,727.11
  5. Step 5: Solve for x
    x = 6,534,727.11/2,660.61
  6. Step 6: Final answer
    x = 2,456.10

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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.