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Finding the Fourth Proportional to 2,345, 3,235.82 and 1,296.92

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Solution

The fourth proportional to 2,345, 3,235.82 and 1,296.92 is: 1,789.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345 : 3,235.82 = 1,296.92 : x
  2. Step 2: Convert to fraction form
    2,345/3,235.82 = 1,296.92/x
  3. Step 3: Cross multiply
    2,345x = 3,235.82 × 1,296.92
  4. Step 4: Simplify right side
    2,345x = 4,196,599.67
  5. Step 5: Solve for x
    x = 4,196,599.67/2,345
  6. Step 6: Final answer
    x = 1,789.59

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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.