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Finding the Fourth Proportional to 2,377.74, 3,565.06 and 992.02

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Solution

The fourth proportional to 2,377.74, 3,565.06 and 992.02 is: 1,487.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.74 : 3,565.06 = 992.02 : x
  2. Step 2: Convert to fraction form
    2,377.74/3,565.06 = 992.02/x
  3. Step 3: Cross multiply
    2,377.74x = 3,565.06 × 992.02
  4. Step 4: Simplify right side
    2,377.74x = 3,536,610.82
  5. Step 5: Solve for x
    x = 3,536,610.82/2,377.74
  6. Step 6: Final answer
    x = 1,487.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.