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Finding the Fourth Proportional to 1,449.46, 2,000.01 and 859.96

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Solution

The fourth proportional to 1,449.46, 2,000.01 and 859.96 is: 1,186.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.46 : 2,000.01 = 859.96 : x
  2. Step 2: Convert to fraction form
    1,449.46/2,000.01 = 859.96/x
  3. Step 3: Cross multiply
    1,449.46x = 2,000.01 × 859.96
  4. Step 4: Simplify right side
    1,449.46x = 1,719,928.60
  5. Step 5: Solve for x
    x = 1,719,928.60/1,449.46
  6. Step 6: Final answer
    x = 1,186.60

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Why These Related Problems?

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