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Finding the Fourth Proportional to 1,244.48, 1,867.32 and 953.83

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Solution

The fourth proportional to 1,244.48, 1,867.32 and 953.83 is: 1,431.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.48 : 1,867.32 = 953.83 : x
  2. Step 2: Convert to fraction form
    1,244.48/1,867.32 = 953.83/x
  3. Step 3: Cross multiply
    1,244.48x = 1,867.32 × 953.83
  4. Step 4: Simplify right side
    1,244.48x = 1,781,105.84
  5. Step 5: Solve for x
    x = 1,781,105.84/1,244.48
  6. Step 6: Final answer
    x = 1,431.20

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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.