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Finding the Fourth Proportional to 2,766.68, 3,818.06 and 1,507.76

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Solution

The fourth proportional to 2,766.68, 3,818.06 and 1,507.76 is: 2,080.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.68 : 3,818.06 = 1,507.76 : x
  2. Step 2: Convert to fraction form
    2,766.68/3,818.06 = 1,507.76/x
  3. Step 3: Cross multiply
    2,766.68x = 3,818.06 × 1,507.76
  4. Step 4: Simplify right side
    2,766.68x = 5,756,718.15
  5. Step 5: Solve for x
    x = 5,756,718.15/2,766.68
  6. Step 6: Final answer
    x = 2,080.73

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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.