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Finding the Fourth Proportional to 2,266.41, 3,128.73 and 1,427.52

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Solution

The fourth proportional to 2,266.41, 3,128.73 and 1,427.52 is: 1,970.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.41 : 3,128.73 = 1,427.52 : x
  2. Step 2: Convert to fraction form
    2,266.41/3,128.73 = 1,427.52/x
  3. Step 3: Cross multiply
    2,266.41x = 3,128.73 × 1,427.52
  4. Step 4: Simplify right side
    2,266.41x = 4,466,324.65
  5. Step 5: Solve for x
    x = 4,466,324.65/2,266.41
  6. Step 6: Final answer
    x = 1,970.66

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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.