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Finding the Fourth Proportional to 2,561.66, 3,535.16 and 1,566.92

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Solution

The fourth proportional to 2,561.66, 3,535.16 and 1,566.92 is: 2,162.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.66 : 3,535.16 = 1,566.92 : x
  2. Step 2: Convert to fraction form
    2,561.66/3,535.16 = 1,566.92/x
  3. Step 3: Cross multiply
    2,561.66x = 3,535.16 × 1,566.92
  4. Step 4: Simplify right side
    2,561.66x = 5,539,287.40
  5. Step 5: Solve for x
    x = 5,539,287.40/2,561.66
  6. Step 6: Final answer
    x = 2,162.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.