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Finding the Fourth Proportional to 1,630.90, 2,446.17 and 765.10

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Solution

The fourth proportional to 1,630.90, 2,446.17 and 765.10 is: 1,147.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.90 : 2,446.17 = 765.10 : x
  2. Step 2: Convert to fraction form
    1,630.90/2,446.17 = 765.10/x
  3. Step 3: Cross multiply
    1,630.90x = 2,446.17 × 765.10
  4. Step 4: Simplify right side
    1,630.90x = 1,871,564.67
  5. Step 5: Solve for x
    x = 1,871,564.67/1,630.90
  6. Step 6: Final answer
    x = 1,147.57

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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.