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Finding the Fourth Proportional to 3,444.90, 4,754.10 and 1,953

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Solution

The fourth proportional to 3,444.90, 4,754.10 and 1,953 is: 2,695.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,444.90 : 4,754.10 = 1,953 : x
  2. Step 2: Convert to fraction form
    3,444.90/4,754.10 = 1,953/x
  3. Step 3: Cross multiply
    3,444.90x = 4,754.10 × 1,953
  4. Step 4: Simplify right side
    3,444.90x = 9,284,757.30
  5. Step 5: Solve for x
    x = 9,284,757.30/3,444.90
  6. Step 6: Final answer
    x = 2,695.22

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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.