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Finding the Fourth Proportional to 1,512.45, 2,267.24 and 861.93

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Solution

The fourth proportional to 1,512.45, 2,267.24 and 861.93 is: 1,292.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.45 : 2,267.24 = 861.93 : x
  2. Step 2: Convert to fraction form
    1,512.45/2,267.24 = 861.93/x
  3. Step 3: Cross multiply
    1,512.45x = 2,267.24 × 861.93
  4. Step 4: Simplify right side
    1,512.45x = 1,954,197.86
  5. Step 5: Solve for x
    x = 1,954,197.86/1,512.45
  6. Step 6: Final answer
    x = 1,292.07

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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.