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Finding the Fourth Proportional to 1,489.35, 2,232 and 1,244.73

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Solution

The fourth proportional to 1,489.35, 2,232 and 1,244.73 is: 1,865.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.35 : 2,232 = 1,244.73 : x
  2. Step 2: Convert to fraction form
    1,489.35/2,232 = 1,244.73/x
  3. Step 3: Cross multiply
    1,489.35x = 2,232 × 1,244.73
  4. Step 4: Simplify right side
    1,489.35x = 2,778,237.36
  5. Step 5: Solve for x
    x = 2,778,237.36/1,489.35
  6. Step 6: Final answer
    x = 1,865.40

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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.