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Finding the Fourth Proportional to 2,776.28, 4,161.28 and 1,132.40

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Solution

The fourth proportional to 2,776.28, 4,161.28 and 1,132.40 is: 1,697.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.28 : 4,161.28 = 1,132.40 : x
  2. Step 2: Convert to fraction form
    2,776.28/4,161.28 = 1,132.40/x
  3. Step 3: Cross multiply
    2,776.28x = 4,161.28 × 1,132.40
  4. Step 4: Simplify right side
    2,776.28x = 4,712,233.47
  5. Step 5: Solve for x
    x = 4,712,233.47/2,776.28
  6. Step 6: Final answer
    x = 1,697.32

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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.