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Finding the Fourth Proportional to 2,816.64, 4,217.76 and 1,663.20

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Solution

The fourth proportional to 2,816.64, 4,217.76 and 1,663.20 is: 2,490.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,816.64 : 4,217.76 = 1,663.20 : x
  2. Step 2: Convert to fraction form
    2,816.64/4,217.76 = 1,663.20/x
  3. Step 3: Cross multiply
    2,816.64x = 4,217.76 × 1,663.20
  4. Step 4: Simplify right side
    2,816.64x = 7,014,978.43
  5. Step 5: Solve for x
    x = 7,014,978.43/2,816.64
  6. Step 6: Final answer
    x = 2,490.55

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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.