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Finding the Fourth Proportional to 2,901, 4,006.68 and 1,967.88

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Solution

The fourth proportional to 2,901, 4,006.68 and 1,967.88 is: 2,717.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901 : 4,006.68 = 1,967.88 : x
  2. Step 2: Convert to fraction form
    2,901/4,006.68 = 1,967.88/x
  3. Step 3: Cross multiply
    2,901x = 4,006.68 × 1,967.88
  4. Step 4: Simplify right side
    2,901x = 7,884,665.44
  5. Step 5: Solve for x
    x = 7,884,665.44/2,901
  6. Step 6: Final answer
    x = 2,717.91

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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.