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Finding the Fourth Proportional to 2,935.84, 4,403.82 and 987.88

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Solution

The fourth proportional to 2,935.84, 4,403.82 and 987.88 is: 1,481.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,935.84 : 4,403.82 = 987.88 : x
  2. Step 2: Convert to fraction form
    2,935.84/4,403.82 = 987.88/x
  3. Step 3: Cross multiply
    2,935.84x = 4,403.82 × 987.88
  4. Step 4: Simplify right side
    2,935.84x = 4,350,445.70
  5. Step 5: Solve for x
    x = 4,350,445.70/2,935.84
  6. Step 6: Final answer
    x = 1,481.84

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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.