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Finding the Fourth Proportional to 2,314.89, 3,194.52 and 1,266.93

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Solution

The fourth proportional to 2,314.89, 3,194.52 and 1,266.93 is: 1,748.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.89 : 3,194.52 = 1,266.93 : x
  2. Step 2: Convert to fraction form
    2,314.89/3,194.52 = 1,266.93/x
  3. Step 3: Cross multiply
    2,314.89x = 3,194.52 × 1,266.93
  4. Step 4: Simplify right side
    2,314.89x = 4,047,233.22
  5. Step 5: Solve for x
    x = 4,047,233.22/2,314.89
  6. Step 6: Final answer
    x = 1,748.35

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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.