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Finding the Fourth Proportional to 2,766.58, 3,817.84 and 1,507.68

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Solution

The fourth proportional to 2,766.58, 3,817.84 and 1,507.68 is: 2,080.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.58 : 3,817.84 = 1,507.68 : x
  2. Step 2: Convert to fraction form
    2,766.58/3,817.84 = 1,507.68/x
  3. Step 3: Cross multiply
    2,766.58x = 3,817.84 × 1,507.68
  4. Step 4: Simplify right side
    2,766.58x = 5,756,073.47
  5. Step 5: Solve for x
    x = 5,756,073.47/2,766.58
  6. Step 6: Final answer
    x = 2,080.58

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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.