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Finding the Fourth Proportional to 2,314.47, 3,194.01 and 1,266.51

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Solution

The fourth proportional to 2,314.47, 3,194.01 and 1,266.51 is: 1,747.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.47 : 3,194.01 = 1,266.51 : x
  2. Step 2: Convert to fraction form
    2,314.47/3,194.01 = 1,266.51/x
  3. Step 3: Cross multiply
    2,314.47x = 3,194.01 × 1,266.51
  4. Step 4: Simplify right side
    2,314.47x = 4,045,245.61
  5. Step 5: Solve for x
    x = 4,045,245.61/2,314.47
  6. Step 6: Final answer
    x = 1,747.81

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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.