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Finding the Fourth Proportional to 2,803.62, 4,202.37 and 1,416.18

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Solution

The fourth proportional to 2,803.62, 4,202.37 and 1,416.18 is: 2,122.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.62 : 4,202.37 = 1,416.18 : x
  2. Step 2: Convert to fraction form
    2,803.62/4,202.37 = 1,416.18/x
  3. Step 3: Cross multiply
    2,803.62x = 4,202.37 × 1,416.18
  4. Step 4: Simplify right side
    2,803.62x = 5,951,312.35
  5. Step 5: Solve for x
    x = 5,951,312.35/2,803.62
  6. Step 6: Final answer
    x = 2,122.72

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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.