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Finding the Fourth Proportional to 2,761.83, 4,144.80 and 1,527.99

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Solution

The fourth proportional to 2,761.83, 4,144.80 and 1,527.99 is: 2,293.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.83 : 4,144.80 = 1,527.99 : x
  2. Step 2: Convert to fraction form
    2,761.83/4,144.80 = 1,527.99/x
  3. Step 3: Cross multiply
    2,761.83x = 4,144.80 × 1,527.99
  4. Step 4: Simplify right side
    2,761.83x = 6,333,212.95
  5. Step 5: Solve for x
    x = 6,333,212.95/2,761.83
  6. Step 6: Final answer
    x = 2,293.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.