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Finding the Fourth Proportional to 1,446.74, 2,178.01 and 987.43

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Solution

The fourth proportional to 1,446.74, 2,178.01 and 987.43 is: 1,486.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.74 : 2,178.01 = 987.43 : x
  2. Step 2: Convert to fraction form
    1,446.74/2,178.01 = 987.43/x
  3. Step 3: Cross multiply
    1,446.74x = 2,178.01 × 987.43
  4. Step 4: Simplify right side
    1,446.74x = 2,150,616.59
  5. Step 5: Solve for x
    x = 2,150,616.59/1,446.74
  6. Step 6: Final answer
    x = 1,486.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.