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Finding the Fourth Proportional to 2,808.45, 4,213.53 and 1,988.31

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Solution

The fourth proportional to 2,808.45, 4,213.53 and 1,988.31 is: 2,983.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,808.45 : 4,213.53 = 1,988.31 : x
  2. Step 2: Convert to fraction form
    2,808.45/4,213.53 = 1,988.31/x
  3. Step 3: Cross multiply
    2,808.45x = 4,213.53 × 1,988.31
  4. Step 4: Simplify right side
    2,808.45x = 8,377,803.83
  5. Step 5: Solve for x
    x = 8,377,803.83/2,808.45
  6. Step 6: Final answer
    x = 2,983.07

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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.