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Finding the Fourth Proportional to 2,451.71, 3,677.97 and 970.49

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Solution

The fourth proportional to 2,451.71, 3,677.97 and 970.49 is: 1,455.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.71 : 3,677.97 = 970.49 : x
  2. Step 2: Convert to fraction form
    2,451.71/3,677.97 = 970.49/x
  3. Step 3: Cross multiply
    2,451.71x = 3,677.97 × 970.49
  4. Step 4: Simplify right side
    2,451.71x = 3,569,433.11
  5. Step 5: Solve for x
    x = 3,569,433.11/2,451.71
  6. Step 6: Final answer
    x = 1,455.90

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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.