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Finding the Fourth Proportional to 1,774, 2,448 and 988.09

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Solution

The fourth proportional to 1,774, 2,448 and 988.09 is: 1,363.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774 : 2,448 = 988.09 : x
  2. Step 2: Convert to fraction form
    1,774/2,448 = 988.09/x
  3. Step 3: Cross multiply
    1,774x = 2,448 × 988.09
  4. Step 4: Simplify right side
    1,774x = 2,418,844.32
  5. Step 5: Solve for x
    x = 2,418,844.32/1,774
  6. Step 6: Final answer
    x = 1,363.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.