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Finding the Fourth Proportional to 2,344.59, 3,235.59 and 1,296.66

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Solution

The fourth proportional to 2,344.59, 3,235.59 and 1,296.66 is: 1,789.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.59 : 3,235.59 = 1,296.66 : x
  2. Step 2: Convert to fraction form
    2,344.59/3,235.59 = 1,296.66/x
  3. Step 3: Cross multiply
    2,344.59x = 3,235.59 × 1,296.66
  4. Step 4: Simplify right side
    2,344.59x = 4,195,460.13
  5. Step 5: Solve for x
    x = 4,195,460.13/2,344.59
  6. Step 6: Final answer
    x = 1,789.42

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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.