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Finding the Fourth Proportional to 1,557.69, 2,149.61 and 849.48

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Solution

The fourth proportional to 1,557.69, 2,149.61 and 849.48 is: 1,172.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.69 : 2,149.61 = 849.48 : x
  2. Step 2: Convert to fraction form
    1,557.69/2,149.61 = 849.48/x
  3. Step 3: Cross multiply
    1,557.69x = 2,149.61 × 849.48
  4. Step 4: Simplify right side
    1,557.69x = 1,826,046.46
  5. Step 5: Solve for x
    x = 1,826,046.46/1,557.69
  6. Step 6: Final answer
    x = 1,172.28

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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.