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Finding the Fourth Proportional to 2,803.32, 4,202.92 and 1,343.50

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Solution

The fourth proportional to 2,803.32, 4,202.92 and 1,343.50 is: 2,014.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.32 : 4,202.92 = 1,343.50 : x
  2. Step 2: Convert to fraction form
    2,803.32/4,202.92 = 1,343.50/x
  3. Step 3: Cross multiply
    2,803.32x = 4,202.92 × 1,343.50
  4. Step 4: Simplify right side
    2,803.32x = 5,646,623.02
  5. Step 5: Solve for x
    x = 5,646,623.02/2,803.32
  6. Step 6: Final answer
    x = 2,014.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.