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Finding the Fourth Proportional to 2,630.71, 3,630.39 and 1,435.78

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Solution

The fourth proportional to 2,630.71, 3,630.39 and 1,435.78 is: 1,981.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,630.71 : 3,630.39 = 1,435.78 : x
  2. Step 2: Convert to fraction form
    2,630.71/3,630.39 = 1,435.78/x
  3. Step 3: Cross multiply
    2,630.71x = 3,630.39 × 1,435.78
  4. Step 4: Simplify right side
    2,630.71x = 5,212,423.20
  5. Step 5: Solve for x
    x = 5,212,423.20/2,630.71
  6. Step 6: Final answer
    x = 1,981.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.