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Finding the Fourth Proportional to 2,371.25, 3,554.85 and 909.38

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Solution

The fourth proportional to 2,371.25, 3,554.85 and 909.38 is: 1,363.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371.25 : 3,554.85 = 909.38 : x
  2. Step 2: Convert to fraction form
    2,371.25/3,554.85 = 909.38/x
  3. Step 3: Cross multiply
    2,371.25x = 3,554.85 × 909.38
  4. Step 4: Simplify right side
    2,371.25x = 3,232,709.49
  5. Step 5: Solve for x
    x = 3,232,709.49/2,371.25
  6. Step 6: Final answer
    x = 1,363.29

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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.