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Finding the Fourth Proportional to 1,449.47, 2,000.22 and 859.66

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Solution

The fourth proportional to 1,449.47, 2,000.22 and 859.66 is: 1,186.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.47 : 2,000.22 = 859.66 : x
  2. Step 2: Convert to fraction form
    1,449.47/2,000.22 = 859.66/x
  3. Step 3: Cross multiply
    1,449.47x = 2,000.22 × 859.66
  4. Step 4: Simplify right side
    1,449.47x = 1,719,509.13
  5. Step 5: Solve for x
    x = 1,719,509.13/1,449.47
  6. Step 6: Final answer
    x = 1,186.30

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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.