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Finding the Fourth Proportional to 2,560.70, 3,534.06 and 1,566.11

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Solution

The fourth proportional to 2,560.70, 3,534.06 and 1,566.11 is: 2,161.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.70 : 3,534.06 = 1,566.11 : x
  2. Step 2: Convert to fraction form
    2,560.70/3,534.06 = 1,566.11/x
  3. Step 3: Cross multiply
    2,560.70x = 3,534.06 × 1,566.11
  4. Step 4: Simplify right side
    2,560.70x = 5,534,726.71
  5. Step 5: Solve for x
    x = 5,534,726.71/2,560.70
  6. Step 6: Final answer
    x = 2,161.42

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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.