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Finding the Fourth Proportional to 3,074.49, 4,242.99 and 1,748.43

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Solution

The fourth proportional to 3,074.49, 4,242.99 and 1,748.43 is: 2,412.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.49 : 4,242.99 = 1,748.43 : x
  2. Step 2: Convert to fraction form
    3,074.49/4,242.99 = 1,748.43/x
  3. Step 3: Cross multiply
    3,074.49x = 4,242.99 × 1,748.43
  4. Step 4: Simplify right side
    3,074.49x = 7,418,581.61
  5. Step 5: Solve for x
    x = 7,418,581.61/3,074.49
  6. Step 6: Final answer
    x = 2,412.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.