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Finding the Fourth Proportional to 3,009.72, 4,513.50 and 1,364.88

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Solution

The fourth proportional to 3,009.72, 4,513.50 and 1,364.88 is: 2,046.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.72 : 4,513.50 = 1,364.88 : x
  2. Step 2: Convert to fraction form
    3,009.72/4,513.50 = 1,364.88/x
  3. Step 3: Cross multiply
    3,009.72x = 4,513.50 × 1,364.88
  4. Step 4: Simplify right side
    3,009.72x = 6,160,385.88
  5. Step 5: Solve for x
    x = 6,160,385.88/3,009.72
  6. Step 6: Final answer
    x = 2,046.83

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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.