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Finding the Fourth Proportional to 2,947.58, 4,418.42 and 1,894.23

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Solution

The fourth proportional to 2,947.58, 4,418.42 and 1,894.23 is: 2,839.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.58 : 4,418.42 = 1,894.23 : x
  2. Step 2: Convert to fraction form
    2,947.58/4,418.42 = 1,894.23/x
  3. Step 3: Cross multiply
    2,947.58x = 4,418.42 × 1,894.23
  4. Step 4: Simplify right side
    2,947.58x = 8,369,521.10
  5. Step 5: Solve for x
    x = 8,369,521.10/2,947.58
  6. Step 6: Final answer
    x = 2,839.45

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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.