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Finding the Fourth Proportional to 2,329.93, 3,214.25 and 1,385.19

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Solution

The fourth proportional to 2,329.93, 3,214.25 and 1,385.19 is: 1,910.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.93 : 3,214.25 = 1,385.19 : x
  2. Step 2: Convert to fraction form
    2,329.93/3,214.25 = 1,385.19/x
  3. Step 3: Cross multiply
    2,329.93x = 3,214.25 × 1,385.19
  4. Step 4: Simplify right side
    2,329.93x = 4,452,348.28
  5. Step 5: Solve for x
    x = 4,452,348.28/2,329.93
  6. Step 6: Final answer
    x = 1,910.93

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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.