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Finding the Fourth Proportional to 2,690.46, 4,035.51 and 841.71

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Solution

The fourth proportional to 2,690.46, 4,035.51 and 841.71 is: 1,262.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.46 : 4,035.51 = 841.71 : x
  2. Step 2: Convert to fraction form
    2,690.46/4,035.51 = 841.71/x
  3. Step 3: Cross multiply
    2,690.46x = 4,035.51 × 841.71
  4. Step 4: Simplify right side
    2,690.46x = 3,396,729.12
  5. Step 5: Solve for x
    x = 3,396,729.12/2,690.46
  6. Step 6: Final answer
    x = 1,262.51

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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.