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Finding the Fourth Proportional to 2,299.60, 3,174.62 and 1,557.48

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Solution

The fourth proportional to 2,299.60, 3,174.62 and 1,557.48 is: 2,150.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.60 : 3,174.62 = 1,557.48 : x
  2. Step 2: Convert to fraction form
    2,299.60/3,174.62 = 1,557.48/x
  3. Step 3: Cross multiply
    2,299.60x = 3,174.62 × 1,557.48
  4. Step 4: Simplify right side
    2,299.60x = 4,944,407.16
  5. Step 5: Solve for x
    x = 4,944,407.16/2,299.60
  6. Step 6: Final answer
    x = 2,150.12

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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.