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Finding the Fourth Proportional to 2,894.31, 4,339.76 and 1,642.92

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Solution

The fourth proportional to 2,894.31, 4,339.76 and 1,642.92 is: 2,463.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.31 : 4,339.76 = 1,642.92 : x
  2. Step 2: Convert to fraction form
    2,894.31/4,339.76 = 1,642.92/x
  3. Step 3: Cross multiply
    2,894.31x = 4,339.76 × 1,642.92
  4. Step 4: Simplify right side
    2,894.31x = 7,129,870.28
  5. Step 5: Solve for x
    x = 7,129,870.28/2,894.31
  6. Step 6: Final answer
    x = 2,463.41

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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.