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Finding the Fourth Proportional to 2,565.45, 3,540.62 and 1,570.86

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Solution

The fourth proportional to 2,565.45, 3,540.62 and 1,570.86 is: 2,167.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.45 : 3,540.62 = 1,570.86 : x
  2. Step 2: Convert to fraction form
    2,565.45/3,540.62 = 1,570.86/x
  3. Step 3: Cross multiply
    2,565.45x = 3,540.62 × 1,570.86
  4. Step 4: Simplify right side
    2,565.45x = 5,561,822.26
  5. Step 5: Solve for x
    x = 5,561,822.26/2,565.45
  6. Step 6: Final answer
    x = 2,167.97

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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.