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Finding the Fourth Proportional to 2,565.90, 3,844.40 and 1,331.46

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Solution

The fourth proportional to 2,565.90, 3,844.40 and 1,331.46 is: 1,994.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.90 : 3,844.40 = 1,331.46 : x
  2. Step 2: Convert to fraction form
    2,565.90/3,844.40 = 1,331.46/x
  3. Step 3: Cross multiply
    2,565.90x = 3,844.40 × 1,331.46
  4. Step 4: Simplify right side
    2,565.90x = 5,118,658.17
  5. Step 5: Solve for x
    x = 5,118,658.17/2,565.90
  6. Step 6: Final answer
    x = 1,994.88

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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.