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Finding the Fourth Proportional to 3,191.34, 4,788.54 and 1,652.34

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Solution

The fourth proportional to 3,191.34, 4,788.54 and 1,652.34 is: 2,479.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.34 : 4,788.54 = 1,652.34 : x
  2. Step 2: Convert to fraction form
    3,191.34/4,788.54 = 1,652.34/x
  3. Step 3: Cross multiply
    3,191.34x = 4,788.54 × 1,652.34
  4. Step 4: Simplify right side
    3,191.34x = 7,912,296.18
  5. Step 5: Solve for x
    x = 7,912,296.18/3,191.34
  6. Step 6: Final answer
    x = 2,479.30

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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.