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Finding the Fourth Proportional to 2,670.92, 3,686.07 and 1,552.20

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Solution

The fourth proportional to 2,670.92, 3,686.07 and 1,552.20 is: 2,142.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.92 : 3,686.07 = 1,552.20 : x
  2. Step 2: Convert to fraction form
    2,670.92/3,686.07 = 1,552.20/x
  3. Step 3: Cross multiply
    2,670.92x = 3,686.07 × 1,552.20
  4. Step 4: Simplify right side
    2,670.92x = 5,721,517.85
  5. Step 5: Solve for x
    x = 5,721,517.85/2,670.92
  6. Step 6: Final answer
    x = 2,142.16

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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.