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Finding the Fourth Proportional to 2,329.31, 3,214.31 and 1,267.07

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Solution

The fourth proportional to 2,329.31, 3,214.31 and 1,267.07 is: 1,748.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.31 : 3,214.31 = 1,267.07 : x
  2. Step 2: Convert to fraction form
    2,329.31/3,214.31 = 1,267.07/x
  3. Step 3: Cross multiply
    2,329.31x = 3,214.31 × 1,267.07
  4. Step 4: Simplify right side
    2,329.31x = 4,072,739.39
  5. Step 5: Solve for x
    x = 4,072,739.39/2,329.31
  6. Step 6: Final answer
    x = 1,748.47

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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.