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Finding the Fourth Proportional to 1,557.79, 2,149.74 and 849.62

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Solution

The fourth proportional to 1,557.79, 2,149.74 and 849.62 is: 1,172.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.79 : 2,149.74 = 849.62 : x
  2. Step 2: Convert to fraction form
    1,557.79/2,149.74 = 849.62/x
  3. Step 3: Cross multiply
    1,557.79x = 2,149.74 × 849.62
  4. Step 4: Simplify right side
    1,557.79x = 1,826,455.66
  5. Step 5: Solve for x
    x = 1,826,455.66/1,557.79
  6. Step 6: Final answer
    x = 1,172.47

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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.