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Finding the Fourth Proportional to 2,296.51, 3,169.20 and 1,248.58

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Solution

The fourth proportional to 2,296.51, 3,169.20 and 1,248.58 is: 1,723.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.51 : 3,169.20 = 1,248.58 : x
  2. Step 2: Convert to fraction form
    2,296.51/3,169.20 = 1,248.58/x
  3. Step 3: Cross multiply
    2,296.51x = 3,169.20 × 1,248.58
  4. Step 4: Simplify right side
    2,296.51x = 3,956,999.74
  5. Step 5: Solve for x
    x = 3,956,999.74/2,296.51
  6. Step 6: Final answer
    x = 1,723.05

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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.