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Finding the Fourth Proportional to 2,560.95, 3,534.15 and 1,566.02

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Solution

The fourth proportional to 2,560.95, 3,534.15 and 1,566.02 is: 2,161.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.95 : 3,534.15 = 1,566.02 : x
  2. Step 2: Convert to fraction form
    2,560.95/3,534.15 = 1,566.02/x
  3. Step 3: Cross multiply
    2,560.95x = 3,534.15 × 1,566.02
  4. Step 4: Simplify right side
    2,560.95x = 5,534,531.91
  5. Step 5: Solve for x
    x = 5,534,531.91/2,560.95
  6. Step 6: Final answer
    x = 2,161.12

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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.