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Finding the Fourth Proportional to 2,143.98, 3,215.97 and 1,275.66

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Solution

The fourth proportional to 2,143.98, 3,215.97 and 1,275.66 is: 1,913.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.98 : 3,215.97 = 1,275.66 : x
  2. Step 2: Convert to fraction form
    2,143.98/3,215.97 = 1,275.66/x
  3. Step 3: Cross multiply
    2,143.98x = 3,215.97 × 1,275.66
  4. Step 4: Simplify right side
    2,143.98x = 4,102,484.29
  5. Step 5: Solve for x
    x = 4,102,484.29/2,143.98
  6. Step 6: Final answer
    x = 1,913.49

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Why These Related Problems?

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