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Finding the Fourth Proportional to 2,459.35, 3,689.07 and 727.96

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Solution

The fourth proportional to 2,459.35, 3,689.07 and 727.96 is: 1,091.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.35 : 3,689.07 = 727.96 : x
  2. Step 2: Convert to fraction form
    2,459.35/3,689.07 = 727.96/x
  3. Step 3: Cross multiply
    2,459.35x = 3,689.07 × 727.96
  4. Step 4: Simplify right side
    2,459.35x = 2,685,495.40
  5. Step 5: Solve for x
    x = 2,685,495.40/2,459.35
  6. Step 6: Final answer
    x = 1,091.95

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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.