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Finding the Fourth Proportional to 2,841.59, 3,921.70 and 1,663.65

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Solution

The fourth proportional to 2,841.59, 3,921.70 and 1,663.65 is: 2,296.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.59 : 3,921.70 = 1,663.65 : x
  2. Step 2: Convert to fraction form
    2,841.59/3,921.70 = 1,663.65/x
  3. Step 3: Cross multiply
    2,841.59x = 3,921.70 × 1,663.65
  4. Step 4: Simplify right side
    2,841.59x = 6,524,308.28
  5. Step 5: Solve for x
    x = 6,524,308.28/2,841.59
  6. Step 6: Final answer
    x = 2,296.01

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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.