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Finding the Fourth Proportional to 2,776.72, 4,164.04 and 1,132.38

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Solution

The fourth proportional to 2,776.72, 4,164.04 and 1,132.38 is: 1,698.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.72 : 4,164.04 = 1,132.38 : x
  2. Step 2: Convert to fraction form
    2,776.72/4,164.04 = 1,132.38/x
  3. Step 3: Cross multiply
    2,776.72x = 4,164.04 × 1,132.38
  4. Step 4: Simplify right side
    2,776.72x = 4,715,275.62
  5. Step 5: Solve for x
    x = 4,715,275.62/2,776.72
  6. Step 6: Final answer
    x = 1,698.15

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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.