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Finding the Fourth Proportional to 2,296.47, 3,169.07 and 1,248.51

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Solution

The fourth proportional to 2,296.47, 3,169.07 and 1,248.51 is: 1,722.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.47 : 3,169.07 = 1,248.51 : x
  2. Step 2: Convert to fraction form
    2,296.47/3,169.07 = 1,248.51/x
  3. Step 3: Cross multiply
    2,296.47x = 3,169.07 × 1,248.51
  4. Step 4: Simplify right side
    2,296.47x = 3,956,609.34
  5. Step 5: Solve for x
    x = 3,956,609.34/2,296.47
  6. Step 6: Final answer
    x = 1,722.91

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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.