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Finding the Fourth Proportional to 2,565.36, 3,540.15 and 1,446.35

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Solution

The fourth proportional to 2,565.36, 3,540.15 and 1,446.35 is: 1,995.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.36 : 3,540.15 = 1,446.35 : x
  2. Step 2: Convert to fraction form
    2,565.36/3,540.15 = 1,446.35/x
  3. Step 3: Cross multiply
    2,565.36x = 3,540.15 × 1,446.35
  4. Step 4: Simplify right side
    2,565.36x = 5,120,278.25
  5. Step 5: Solve for x
    x = 5,120,278.25/2,565.36
  6. Step 6: Final answer
    x = 1,995.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.