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Finding the Fourth Proportional to 2,772.44, 4,159.44 and 1,130.17

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Solution

The fourth proportional to 2,772.44, 4,159.44 and 1,130.17 is: 1,695.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.44 : 4,159.44 = 1,130.17 : x
  2. Step 2: Convert to fraction form
    2,772.44/4,159.44 = 1,130.17/x
  3. Step 3: Cross multiply
    2,772.44x = 4,159.44 × 1,130.17
  4. Step 4: Simplify right side
    2,772.44x = 4,700,874.30
  5. Step 5: Solve for x
    x = 4,700,874.30/2,772.44
  6. Step 6: Final answer
    x = 1,695.57

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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.