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Finding the Fourth Proportional to 2,565.42, 3,540.87 and 1,518.18

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Solution

The fourth proportional to 2,565.42, 3,540.87 and 1,518.18 is: 2,095.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.42 : 3,540.87 = 1,518.18 : x
  2. Step 2: Convert to fraction form
    2,565.42/3,540.87 = 1,518.18/x
  3. Step 3: Cross multiply
    2,565.42x = 3,540.87 × 1,518.18
  4. Step 4: Simplify right side
    2,565.42x = 5,375,678.02
  5. Step 5: Solve for x
    x = 5,375,678.02/2,565.42
  6. Step 6: Final answer
    x = 2,095.44

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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.