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Finding the Fourth Proportional to 2,766.29, 3,817.49 and 1,507.37

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Solution

The fourth proportional to 2,766.29, 3,817.49 and 1,507.37 is: 2,080.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.29 : 3,817.49 = 1,507.37 : x
  2. Step 2: Convert to fraction form
    2,766.29/3,817.49 = 1,507.37/x
  3. Step 3: Cross multiply
    2,766.29x = 3,817.49 × 1,507.37
  4. Step 4: Simplify right side
    2,766.29x = 5,754,343.28
  5. Step 5: Solve for x
    x = 5,754,343.28/2,766.29
  6. Step 6: Final answer
    x = 2,080.17

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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.