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Finding the Fourth Proportional to 3,077.84, 4,617.15 and 1,129.76

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Solution

The fourth proportional to 3,077.84, 4,617.15 and 1,129.76 is: 1,694.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.84 : 4,617.15 = 1,129.76 : x
  2. Step 2: Convert to fraction form
    3,077.84/4,617.15 = 1,129.76/x
  3. Step 3: Cross multiply
    3,077.84x = 4,617.15 × 1,129.76
  4. Step 4: Simplify right side
    3,077.84x = 5,216,271.38
  5. Step 5: Solve for x
    x = 5,216,271.38/3,077.84
  6. Step 6: Final answer
    x = 1,694.78

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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.