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Finding the Fourth Proportional to 3,074.54, 4,242.71 and 1,748.09

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Solution

The fourth proportional to 3,074.54, 4,242.71 and 1,748.09 is: 2,412.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.54 : 4,242.71 = 1,748.09 : x
  2. Step 2: Convert to fraction form
    3,074.54/4,242.71 = 1,748.09/x
  3. Step 3: Cross multiply
    3,074.54x = 4,242.71 × 1,748.09
  4. Step 4: Simplify right side
    3,074.54x = 7,416,653.90
  5. Step 5: Solve for x
    x = 7,416,653.90/3,074.54
  6. Step 6: Final answer
    x = 2,412.28

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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.