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Finding the Fourth Proportional to 2,983.60, 4,115.12 and 1,803.20

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Solution

The fourth proportional to 2,983.60, 4,115.12 and 1,803.20 is: 2,487.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.60 : 4,115.12 = 1,803.20 : x
  2. Step 2: Convert to fraction form
    2,983.60/4,115.12 = 1,803.20/x
  3. Step 3: Cross multiply
    2,983.60x = 4,115.12 × 1,803.20
  4. Step 4: Simplify right side
    2,983.60x = 7,420,384.38
  5. Step 5: Solve for x
    x = 7,420,384.38/2,983.60
  6. Step 6: Final answer
    x = 2,487.06

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Why These Related Problems?

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