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Finding the Fourth Proportional to 2,857.37, 4,283.30 and 1,101.08

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Solution

The fourth proportional to 2,857.37, 4,283.30 and 1,101.08 is: 1,650.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.37 : 4,283.30 = 1,101.08 : x
  2. Step 2: Convert to fraction form
    2,857.37/4,283.30 = 1,101.08/x
  3. Step 3: Cross multiply
    2,857.37x = 4,283.30 × 1,101.08
  4. Step 4: Simplify right side
    2,857.37x = 4,716,229.04
  5. Step 5: Solve for x
    x = 4,716,229.04/2,857.37
  6. Step 6: Final answer
    x = 1,650.55

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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.