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Finding the Fourth Proportional to 4,630.14, 6,944.76 and 1,167.48

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Solution

The fourth proportional to 4,630.14, 6,944.76 and 1,167.48 is: 1,751.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630.14 : 6,944.76 = 1,167.48 : x
  2. Step 2: Convert to fraction form
    4,630.14/6,944.76 = 1,167.48/x
  3. Step 3: Cross multiply
    4,630.14x = 6,944.76 × 1,167.48
  4. Step 4: Simplify right side
    4,630.14x = 8,107,868.40
  5. Step 5: Solve for x
    x = 8,107,868.40/4,630.14
  6. Step 6: Final answer
    x = 1,751.11

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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.