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Finding the Fourth Proportional to 2,524.64, 3,809.54 and 2,423.49

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Solution

The fourth proportional to 2,524.64, 3,809.54 and 2,423.49 is: 3,656.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.64 : 3,809.54 = 2,423.49 : x
  2. Step 2: Convert to fraction form
    2,524.64/3,809.54 = 2,423.49/x
  3. Step 3: Cross multiply
    2,524.64x = 3,809.54 × 2,423.49
  4. Step 4: Simplify right side
    2,524.64x = 9,232,369.98
  5. Step 5: Solve for x
    x = 9,232,369.98/2,524.64
  6. Step 6: Final answer
    x = 3,656.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.