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Finding the Fourth Proportional to 2,894.31, 4,339.02 and 2,345.13

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Solution

The fourth proportional to 2,894.31, 4,339.02 and 2,345.13 is: 3,515.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.31 : 4,339.02 = 2,345.13 : x
  2. Step 2: Convert to fraction form
    2,894.31/4,339.02 = 2,345.13/x
  3. Step 3: Cross multiply
    2,894.31x = 4,339.02 × 2,345.13
  4. Step 4: Simplify right side
    2,894.31x = 10,175,565.97
  5. Step 5: Solve for x
    x = 10,175,565.97/2,894.31
  6. Step 6: Final answer
    x = 3,515.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.