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Finding the Fourth Proportional to 4,630.16, 6,945.24 and 1,167.68

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Solution

The fourth proportional to 4,630.16, 6,945.24 and 1,167.68 is: 1,751.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630.16 : 6,945.24 = 1,167.68 : x
  2. Step 2: Convert to fraction form
    4,630.16/6,945.24 = 1,167.68/x
  3. Step 3: Cross multiply
    4,630.16x = 6,945.24 × 1,167.68
  4. Step 4: Simplify right side
    4,630.16x = 8,109,817.84
  5. Step 5: Solve for x
    x = 8,109,817.84/4,630.16
  6. Step 6: Final answer
    x = 1,751.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.