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Finding the Fourth Proportional to 2,646.26, 3,967.87 and 1,001.76

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Solution

The fourth proportional to 2,646.26, 3,967.87 and 1,001.76 is: 1,502.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.26 : 3,967.87 = 1,001.76 : x
  2. Step 2: Convert to fraction form
    2,646.26/3,967.87 = 1,001.76/x
  3. Step 3: Cross multiply
    2,646.26x = 3,967.87 × 1,001.76
  4. Step 4: Simplify right side
    2,646.26x = 3,974,853.45
  5. Step 5: Solve for x
    x = 3,974,853.45/2,646.26
  6. Step 6: Final answer
    x = 1,502.06

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