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Finding the Fourth Proportional to 2,266.74, 3,127.23 and 1,382.49

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Solution

The fourth proportional to 2,266.74, 3,127.23 and 1,382.49 is: 1,907.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.74 : 3,127.23 = 1,382.49 : x
  2. Step 2: Convert to fraction form
    2,266.74/3,127.23 = 1,382.49/x
  3. Step 3: Cross multiply
    2,266.74x = 3,127.23 × 1,382.49
  4. Step 4: Simplify right side
    2,266.74x = 4,323,364.20
  5. Step 5: Solve for x
    x = 4,323,364.20/2,266.74
  6. Step 6: Final answer
    x = 1,907.30

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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.