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Finding the Fourth Proportional to 1,451.63, 2,003.21 and 862.15

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Solution

The fourth proportional to 1,451.63, 2,003.21 and 862.15 is: 1,189.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.63 : 2,003.21 = 862.15 : x
  2. Step 2: Convert to fraction form
    1,451.63/2,003.21 = 862.15/x
  3. Step 3: Cross multiply
    1,451.63x = 2,003.21 × 862.15
  4. Step 4: Simplify right side
    1,451.63x = 1,727,067.50
  5. Step 5: Solve for x
    x = 1,727,067.50/1,451.63
  6. Step 6: Final answer
    x = 1,189.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.