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Finding the Fourth Proportional to 1,449.35, 2,000.07 and 859.88

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Solution

The fourth proportional to 1,449.35, 2,000.07 and 859.88 is: 1,186.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.35 : 2,000.07 = 859.88 : x
  2. Step 2: Convert to fraction form
    1,449.35/2,000.07 = 859.88/x
  3. Step 3: Cross multiply
    1,449.35x = 2,000.07 × 859.88
  4. Step 4: Simplify right side
    1,449.35x = 1,719,810.19
  5. Step 5: Solve for x
    x = 1,719,810.19/1,449.35
  6. Step 6: Final answer
    x = 1,186.61

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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.