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Finding the Fourth Proportional to 2,314.53, 3,194.04 and 1,266.59

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Solution

The fourth proportional to 2,314.53, 3,194.04 and 1,266.59 is: 1,747.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.53 : 3,194.04 = 1,266.59 : x
  2. Step 2: Convert to fraction form
    2,314.53/3,194.04 = 1,266.59/x
  3. Step 3: Cross multiply
    2,314.53x = 3,194.04 × 1,266.59
  4. Step 4: Simplify right side
    2,314.53x = 4,045,547.11
  5. Step 5: Solve for x
    x = 4,045,547.11/2,314.53
  6. Step 6: Final answer
    x = 1,747.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.