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Finding the Fourth Proportional to 2,314.58, 3,194.10 and 1,266.64

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Solution

The fourth proportional to 2,314.58, 3,194.10 and 1,266.64 is: 1,747.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.58 : 3,194.10 = 1,266.64 : x
  2. Step 2: Convert to fraction form
    2,314.58/3,194.10 = 1,266.64/x
  3. Step 3: Cross multiply
    2,314.58x = 3,194.10 × 1,266.64
  4. Step 4: Simplify right side
    2,314.58x = 4,045,774.82
  5. Step 5: Solve for x
    x = 4,045,774.82/2,314.58
  6. Step 6: Final answer
    x = 1,747.95

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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.