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Finding the Fourth Proportional to 2,565.40, 3,540.18 and 1,570.76

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Solution

The fourth proportional to 2,565.40, 3,540.18 and 1,570.76 is: 2,167.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.40 : 3,540.18 = 1,570.76 : x
  2. Step 2: Convert to fraction form
    2,565.40/3,540.18 = 1,570.76/x
  3. Step 3: Cross multiply
    2,565.40x = 3,540.18 × 1,570.76
  4. Step 4: Simplify right side
    2,565.40x = 5,560,773.14
  5. Step 5: Solve for x
    x = 5,560,773.14/2,565.40
  6. Step 6: Final answer
    x = 2,167.60

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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.