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Finding the Fourth Proportional to 1,952.64, 2,926.08 and 1,747.20

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Solution

The fourth proportional to 1,952.64, 2,926.08 and 1,747.20 is: 2,618.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.64 : 2,926.08 = 1,747.20 : x
  2. Step 2: Convert to fraction form
    1,952.64/2,926.08 = 1,747.20/x
  3. Step 3: Cross multiply
    1,952.64x = 2,926.08 × 1,747.20
  4. Step 4: Simplify right side
    1,952.64x = 5,112,446.98
  5. Step 5: Solve for x
    x = 5,112,446.98/1,952.64
  6. Step 6: Final answer
    x = 2,618.22

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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.