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Finding the Fourth Proportional to 2,176.61, 3,265.92 and 944.80

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Solution

The fourth proportional to 2,176.61, 3,265.92 and 944.80 is: 1,417.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.61 : 3,265.92 = 944.80 : x
  2. Step 2: Convert to fraction form
    2,176.61/3,265.92 = 944.80/x
  3. Step 3: Cross multiply
    2,176.61x = 3,265.92 × 944.80
  4. Step 4: Simplify right side
    2,176.61x = 3,085,633.05
  5. Step 5: Solve for x
    x = 3,085,633.05/2,176.61
  6. Step 6: Final answer
    x = 1,417.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.