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Finding the Fourth Proportional to 2,266.31, 3,128.60 and 1,427.42

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Solution

The fourth proportional to 2,266.31, 3,128.60 and 1,427.42 is: 1,970.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.31 : 3,128.60 = 1,427.42 : x
  2. Step 2: Convert to fraction form
    2,266.31/3,128.60 = 1,427.42/x
  3. Step 3: Cross multiply
    2,266.31x = 3,128.60 × 1,427.42
  4. Step 4: Simplify right side
    2,266.31x = 4,465,803.43
  5. Step 5: Solve for x
    x = 4,465,803.43/2,266.31
  6. Step 6: Final answer
    x = 1,970.52

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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.