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Finding the Fourth Proportional to 2,803.78, 4,204.72 and 1,416.23

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Solution

The fourth proportional to 2,803.78, 4,204.72 and 1,416.23 is: 2,123.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.78 : 4,204.72 = 1,416.23 : x
  2. Step 2: Convert to fraction form
    2,803.78/4,204.72 = 1,416.23/x
  3. Step 3: Cross multiply
    2,803.78x = 4,204.72 × 1,416.23
  4. Step 4: Simplify right side
    2,803.78x = 5,954,850.61
  5. Step 5: Solve for x
    x = 5,954,850.61/2,803.78
  6. Step 6: Final answer
    x = 2,123.87

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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.