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Finding the Fourth Proportional to 2,369.65, 3,554.84 and 809.73

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Solution

The fourth proportional to 2,369.65, 3,554.84 and 809.73 is: 1,214.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.65 : 3,554.84 = 809.73 : x
  2. Step 2: Convert to fraction form
    2,369.65/3,554.84 = 809.73/x
  3. Step 3: Cross multiply
    2,369.65x = 3,554.84 × 809.73
  4. Step 4: Simplify right side
    2,369.65x = 2,878,462.62
  5. Step 5: Solve for x
    x = 2,878,462.62/2,369.65
  6. Step 6: Final answer
    x = 1,214.72

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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.