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Finding the Fourth Proportional to 2,565.64, 3,540.81 and 1,571.14

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Solution

The fourth proportional to 2,565.64, 3,540.81 and 1,571.14 is: 2,168.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.64 : 3,540.81 = 1,571.14 : x
  2. Step 2: Convert to fraction form
    2,565.64/3,540.81 = 1,571.14/x
  3. Step 3: Cross multiply
    2,565.64x = 3,540.81 × 1,571.14
  4. Step 4: Simplify right side
    2,565.64x = 5,563,108.22
  5. Step 5: Solve for x
    x = 5,563,108.22/2,565.64
  6. Step 6: Final answer
    x = 2,168.31

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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.