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Finding the Fourth Proportional to 2,119.25, 3,178.35 and 885.98

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Solution

The fourth proportional to 2,119.25, 3,178.35 and 885.98 is: 1,328.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.25 : 3,178.35 = 885.98 : x
  2. Step 2: Convert to fraction form
    2,119.25/3,178.35 = 885.98/x
  3. Step 3: Cross multiply
    2,119.25x = 3,178.35 × 885.98
  4. Step 4: Simplify right side
    2,119.25x = 2,815,954.53
  5. Step 5: Solve for x
    x = 2,815,954.53/2,119.25
  6. Step 6: Final answer
    x = 1,328.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.