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Finding the Fourth Proportional to 1,849.76, 2,552.13 and 1,141.70

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Solution

The fourth proportional to 1,849.76, 2,552.13 and 1,141.70 is: 1,575.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.76 : 2,552.13 = 1,141.70 : x
  2. Step 2: Convert to fraction form
    1,849.76/2,552.13 = 1,141.70/x
  3. Step 3: Cross multiply
    1,849.76x = 2,552.13 × 1,141.70
  4. Step 4: Simplify right side
    1,849.76x = 2,913,766.82
  5. Step 5: Solve for x
    x = 2,913,766.82/1,849.76
  6. Step 6: Final answer
    x = 1,575.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.