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Finding the Fourth Proportional to 2,369.52, 3,553.20 and 1,216.08

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Solution

The fourth proportional to 2,369.52, 3,553.20 and 1,216.08 is: 1,823.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.52 : 3,553.20 = 1,216.08 : x
  2. Step 2: Convert to fraction form
    2,369.52/3,553.20 = 1,216.08/x
  3. Step 3: Cross multiply
    2,369.52x = 3,553.20 × 1,216.08
  4. Step 4: Simplify right side
    2,369.52x = 4,320,975.46
  5. Step 5: Solve for x
    x = 4,320,975.46/2,369.52
  6. Step 6: Final answer
    x = 1,823.57

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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.