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Finding the Fourth Proportional to 2,761.88, 4,118.43 and 2,561.00

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Solution

The fourth proportional to 2,761.88, 4,118.43 and 2,561.00 is: 3,818.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.88 : 4,118.43 = 2,561.00 : x
  2. Step 2: Convert to fraction form
    2,761.88/4,118.43 = 2,561.00/x
  3. Step 3: Cross multiply
    2,761.88x = 4,118.43 × 2,561.00
  4. Step 4: Simplify right side
    2,761.88x = 10,547,278.64
  5. Step 5: Solve for x
    x = 10,547,278.64/2,761.88
  6. Step 6: Final answer
    x = 3,818.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.