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Finding the Fourth Proportional to 2,380.77, 3,565.00 and 1,642.66

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Solution

The fourth proportional to 2,380.77, 3,565.00 and 1,642.66 is: 2,459.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.77 : 3,565.00 = 1,642.66 : x
  2. Step 2: Convert to fraction form
    2,380.77/3,565.00 = 1,642.66/x
  3. Step 3: Cross multiply
    2,380.77x = 3,565.00 × 1,642.66
  4. Step 4: Simplify right side
    2,380.77x = 5,856,076.04
  5. Step 5: Solve for x
    x = 5,856,076.04/2,380.77
  6. Step 6: Final answer
    x = 2,459.74

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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.