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Finding the Fourth Proportional to 2,275.98, 3,141.39 and 1,447.50

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Solution

The fourth proportional to 2,275.98, 3,141.39 and 1,447.50 is: 1,997.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.98 : 3,141.39 = 1,447.50 : x
  2. Step 2: Convert to fraction form
    2,275.98/3,141.39 = 1,447.50/x
  3. Step 3: Cross multiply
    2,275.98x = 3,141.39 × 1,447.50
  4. Step 4: Simplify right side
    2,275.98x = 4,547,162.03
  5. Step 5: Solve for x
    x = 4,547,162.03/2,275.98
  6. Step 6: Final answer
    x = 1,997.89

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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.