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Finding the Fourth Proportional to 2,446.40, 3,669.81 and 691.41

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Solution

The fourth proportional to 2,446.40, 3,669.81 and 691.41 is: 1,037.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.40 : 3,669.81 = 691.41 : x
  2. Step 2: Convert to fraction form
    2,446.40/3,669.81 = 691.41/x
  3. Step 3: Cross multiply
    2,446.40x = 3,669.81 × 691.41
  4. Step 4: Simplify right side
    2,446.40x = 2,537,339.88
  5. Step 5: Solve for x
    x = 2,537,339.88/2,446.40
  6. Step 6: Final answer
    x = 1,037.18

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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.