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Finding the Fourth Proportional to 2,000.93, 3,001.40 and 1,268.96

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Solution

The fourth proportional to 2,000.93, 3,001.40 and 1,268.96 is: 1,903.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.93 : 3,001.40 = 1,268.96 : x
  2. Step 2: Convert to fraction form
    2,000.93/3,001.40 = 1,268.96/x
  3. Step 3: Cross multiply
    2,000.93x = 3,001.40 × 1,268.96
  4. Step 4: Simplify right side
    2,000.93x = 3,808,635.19
  5. Step 5: Solve for x
    x = 3,808,635.19/2,000.93
  6. Step 6: Final answer
    x = 1,903.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.