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Finding the Fourth Proportional to 2,807.80, 4,209.30 and 1,983.48

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Solution

The fourth proportional to 2,807.80, 4,209.30 and 1,983.48 is: 2,973.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.80 : 4,209.30 = 1,983.48 : x
  2. Step 2: Convert to fraction form
    2,807.80/4,209.30 = 1,983.48/x
  3. Step 3: Cross multiply
    2,807.80x = 4,209.30 × 1,983.48
  4. Step 4: Simplify right side
    2,807.80x = 8,349,062.36
  5. Step 5: Solve for x
    x = 8,349,062.36/2,807.80
  6. Step 6: Final answer
    x = 2,973.52

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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.