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Finding the Fourth Proportional to 1,289.89, 1,930.21 and 1,117.15

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Solution

The fourth proportional to 1,289.89, 1,930.21 and 1,117.15 is: 1,671.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.89 : 1,930.21 = 1,117.15 : x
  2. Step 2: Convert to fraction form
    1,289.89/1,930.21 = 1,117.15/x
  3. Step 3: Cross multiply
    1,289.89x = 1,930.21 × 1,117.15
  4. Step 4: Simplify right side
    1,289.89x = 2,156,318.86
  5. Step 5: Solve for x
    x = 2,156,318.86/1,289.89
  6. Step 6: Final answer
    x = 1,671.71

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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.