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Finding the Fourth Proportional to 2,329.68, 3,214.92 and 1,544.28

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Solution

The fourth proportional to 2,329.68, 3,214.92 and 1,544.28 is: 2,131.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.68 : 3,214.92 = 1,544.28 : x
  2. Step 2: Convert to fraction form
    2,329.68/3,214.92 = 1,544.28/x
  3. Step 3: Cross multiply
    2,329.68x = 3,214.92 × 1,544.28
  4. Step 4: Simplify right side
    2,329.68x = 4,964,736.66
  5. Step 5: Solve for x
    x = 4,964,736.66/2,329.68
  6. Step 6: Final answer
    x = 2,131.08

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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.