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Finding the Fourth Proportional to 2,798.52, 4,197.62 and 1,043.19

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Solution

The fourth proportional to 2,798.52, 4,197.62 and 1,043.19 is: 1,564.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.52 : 4,197.62 = 1,043.19 : x
  2. Step 2: Convert to fraction form
    2,798.52/4,197.62 = 1,043.19/x
  3. Step 3: Cross multiply
    2,798.52x = 4,197.62 × 1,043.19
  4. Step 4: Simplify right side
    2,798.52x = 4,378,889.00
  5. Step 5: Solve for x
    x = 4,378,889.00/2,798.52
  6. Step 6: Final answer
    x = 1,564.71

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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.