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Finding the Fourth Proportional to 2,565.46, 3,844.48 and 1,394.47

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Solution

The fourth proportional to 2,565.46, 3,844.48 and 1,394.47 is: 2,089.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.46 : 3,844.48 = 1,394.47 : x
  2. Step 2: Convert to fraction form
    2,565.46/3,844.48 = 1,394.47/x
  3. Step 3: Cross multiply
    2,565.46x = 3,844.48 × 1,394.47
  4. Step 4: Simplify right side
    2,565.46x = 5,361,012.03
  5. Step 5: Solve for x
    x = 5,361,012.03/2,565.46
  6. Step 6: Final answer
    x = 2,089.69

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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.