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Finding the Fourth Proportional to 2,378.64, 3,553.44 and 2,292.24

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Solution

The fourth proportional to 2,378.64, 3,553.44 and 2,292.24 is: 3,424.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.64 : 3,553.44 = 2,292.24 : x
  2. Step 2: Convert to fraction form
    2,378.64/3,553.44 = 2,292.24/x
  3. Step 3: Cross multiply
    2,378.64x = 3,553.44 × 2,292.24
  4. Step 4: Simplify right side
    2,378.64x = 8,145,337.31
  5. Step 5: Solve for x
    x = 8,145,337.31/2,378.64
  6. Step 6: Final answer
    x = 3,424.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.