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Finding the Fourth Proportional to 2,369.44, 3,554.16 and 909.04

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Solution

The fourth proportional to 2,369.44, 3,554.16 and 909.04 is: 1,363.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.44 : 3,554.16 = 909.04 : x
  2. Step 2: Convert to fraction form
    2,369.44/3,554.16 = 909.04/x
  3. Step 3: Cross multiply
    2,369.44x = 3,554.16 × 909.04
  4. Step 4: Simplify right side
    2,369.44x = 3,230,873.61
  5. Step 5: Solve for x
    x = 3,230,873.61/2,369.44
  6. Step 6: Final answer
    x = 1,363.56

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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.