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Finding the Fourth Proportional to 1,552.71, 2,330.07 and 1,427.56

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Solution

The fourth proportional to 1,552.71, 2,330.07 and 1,427.56 is: 2,142.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.71 : 2,330.07 = 1,427.56 : x
  2. Step 2: Convert to fraction form
    1,552.71/2,330.07 = 1,427.56/x
  3. Step 3: Cross multiply
    1,552.71x = 2,330.07 × 1,427.56
  4. Step 4: Simplify right side
    1,552.71x = 3,326,314.73
  5. Step 5: Solve for x
    x = 3,326,314.73/1,552.71
  6. Step 6: Final answer
    x = 2,142.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.