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Finding the Fourth Proportional to 1,773.81, 2,447.84 and 987.84

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Solution

The fourth proportional to 1,773.81, 2,447.84 and 987.84 is: 1,363.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.81 : 2,447.84 = 987.84 : x
  2. Step 2: Convert to fraction form
    1,773.81/2,447.84 = 987.84/x
  3. Step 3: Cross multiply
    1,773.81x = 2,447.84 × 987.84
  4. Step 4: Simplify right side
    1,773.81x = 2,418,069.33
  5. Step 5: Solve for x
    x = 2,418,069.33/1,773.81
  6. Step 6: Final answer
    x = 1,363.21

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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.