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Finding the Fourth Proportional to 2,043.12, 2,814.24 and 1,600.24

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Solution

The fourth proportional to 2,043.12, 2,814.24 and 1,600.24 is: 2,204.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.12 : 2,814.24 = 1,600.24 : x
  2. Step 2: Convert to fraction form
    2,043.12/2,814.24 = 1,600.24/x
  3. Step 3: Cross multiply
    2,043.12x = 2,814.24 × 1,600.24
  4. Step 4: Simplify right side
    2,043.12x = 4,503,459.42
  5. Step 5: Solve for x
    x = 4,503,459.42/2,043.12
  6. Step 6: Final answer
    x = 2,204.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.