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Finding the Fourth Proportional to 1,431.32, 2,148.30 and 884.56

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Solution

The fourth proportional to 1,431.32, 2,148.30 and 884.56 is: 1,327.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.32 : 2,148.30 = 884.56 : x
  2. Step 2: Convert to fraction form
    1,431.32/2,148.30 = 884.56/x
  3. Step 3: Cross multiply
    1,431.32x = 2,148.30 × 884.56
  4. Step 4: Simplify right side
    1,431.32x = 1,900,300.25
  5. Step 5: Solve for x
    x = 1,900,300.25/1,431.32
  6. Step 6: Final answer
    x = 1,327.66

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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.