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Finding the Fourth Proportional to 1,773.97, 2,448.12 and 988

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Solution

The fourth proportional to 1,773.97, 2,448.12 and 988 is: 1,363.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.97 : 2,448.12 = 988 : x
  2. Step 2: Convert to fraction form
    1,773.97/2,448.12 = 988/x
  3. Step 3: Cross multiply
    1,773.97x = 2,448.12 × 988
  4. Step 4: Simplify right side
    1,773.97x = 2,418,742.56
  5. Step 5: Solve for x
    x = 2,418,742.56/1,773.97
  6. Step 6: Final answer
    x = 1,363.46

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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.