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Finding the Fourth Proportional to 1,952.20, 2,926.12 and 1,220.76

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Solution

The fourth proportional to 1,952.20, 2,926.12 and 1,220.76 is: 1,829.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.20 : 2,926.12 = 1,220.76 : x
  2. Step 2: Convert to fraction form
    1,952.20/2,926.12 = 1,220.76/x
  3. Step 3: Cross multiply
    1,952.20x = 2,926.12 × 1,220.76
  4. Step 4: Simplify right side
    1,952.20x = 3,572,090.25
  5. Step 5: Solve for x
    x = 3,572,090.25/1,952.20
  6. Step 6: Final answer
    x = 1,829.78

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