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Finding the Fourth Proportional to 3,444.90, 4,754.49 and 1,952.97

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Solution

The fourth proportional to 3,444.90, 4,754.49 and 1,952.97 is: 2,695.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,444.90 : 4,754.49 = 1,952.97 : x
  2. Step 2: Convert to fraction form
    3,444.90/4,754.49 = 1,952.97/x
  3. Step 3: Cross multiply
    3,444.90x = 4,754.49 × 1,952.97
  4. Step 4: Simplify right side
    3,444.90x = 9,285,376.34
  5. Step 5: Solve for x
    x = 9,285,376.34/3,444.90
  6. Step 6: Final answer
    x = 2,695.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.