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Finding the Fourth Proportional to 1,427.45, 2,142.53 and 880.70

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Solution

The fourth proportional to 1,427.45, 2,142.53 and 880.70 is: 1,321.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.45 : 2,142.53 = 880.70 : x
  2. Step 2: Convert to fraction form
    1,427.45/2,142.53 = 880.70/x
  3. Step 3: Cross multiply
    1,427.45x = 2,142.53 × 880.70
  4. Step 4: Simplify right side
    1,427.45x = 1,886,921.77
  5. Step 5: Solve for x
    x = 1,886,921.77/1,427.45
  6. Step 6: Final answer
    x = 1,321.88

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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.