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Finding the Fourth Proportional to 2,524.08, 3,783.96 and 984

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Solution

The fourth proportional to 2,524.08, 3,783.96 and 984 is: 1,475.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.08 : 3,783.96 = 984 : x
  2. Step 2: Convert to fraction form
    2,524.08/3,783.96 = 984/x
  3. Step 3: Cross multiply
    2,524.08x = 3,783.96 × 984
  4. Step 4: Simplify right side
    2,524.08x = 3,723,416.64
  5. Step 5: Solve for x
    x = 3,723,416.64/2,524.08
  6. Step 6: Final answer
    x = 1,475.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.