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Finding the Fourth Proportional to 1,773.84, 2,447.96 and 987.94

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Solution

The fourth proportional to 1,773.84, 2,447.96 and 987.94 is: 1,363.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.84 : 2,447.96 = 987.94 : x
  2. Step 2: Convert to fraction form
    1,773.84/2,447.96 = 987.94/x
  3. Step 3: Cross multiply
    1,773.84x = 2,447.96 × 987.94
  4. Step 4: Simplify right side
    1,773.84x = 2,418,437.60
  5. Step 5: Solve for x
    x = 2,418,437.60/1,773.84
  6. Step 6: Final answer
    x = 1,363.39

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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.