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Finding the Fourth Proportional to 2,565.25, 3,841.31 and 2,046

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Solution

The fourth proportional to 2,565.25, 3,841.31 and 2,046 is: 3,063.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.25 : 3,841.31 = 2,046 : x
  2. Step 2: Convert to fraction form
    2,565.25/3,841.31 = 2,046/x
  3. Step 3: Cross multiply
    2,565.25x = 3,841.31 × 2,046
  4. Step 4: Simplify right side
    2,565.25x = 7,859,310.03
  5. Step 5: Solve for x
    x = 7,859,310.03/2,565.25
  6. Step 6: Final answer
    x = 3,063.76

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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.