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Finding the Fourth Proportional to 1,251.20, 1,878.60 and 945.20

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Solution

The fourth proportional to 1,251.20, 1,878.60 and 945.20 is: 1,419.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.20 : 1,878.60 = 945.20 : x
  2. Step 2: Convert to fraction form
    1,251.20/1,878.60 = 945.20/x
  3. Step 3: Cross multiply
    1,251.20x = 1,878.60 × 945.20
  4. Step 4: Simplify right side
    1,251.20x = 1,775,652.72
  5. Step 5: Solve for x
    x = 1,775,652.72/1,251.20
  6. Step 6: Final answer
    x = 1,419.16

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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.