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Finding the Fourth Proportional to 2,936.86, 4,402.53 and 987.70

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Solution

The fourth proportional to 2,936.86, 4,402.53 and 987.70 is: 1,480.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,936.86 : 4,402.53 = 987.70 : x
  2. Step 2: Convert to fraction form
    2,936.86/4,402.53 = 987.70/x
  3. Step 3: Cross multiply
    2,936.86x = 4,402.53 × 987.70
  4. Step 4: Simplify right side
    2,936.86x = 4,348,378.88
  5. Step 5: Solve for x
    x = 4,348,378.88/2,936.86
  6. Step 6: Final answer
    x = 1,480.62

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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.