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Finding the Fourth Proportional to 2,798.53, 4,198.20 and 1,043.08

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Solution

The fourth proportional to 2,798.53, 4,198.20 and 1,043.08 is: 1,564.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.53 : 4,198.20 = 1,043.08 : x
  2. Step 2: Convert to fraction form
    2,798.53/4,198.20 = 1,043.08/x
  3. Step 3: Cross multiply
    2,798.53x = 4,198.20 × 1,043.08
  4. Step 4: Simplify right side
    2,798.53x = 4,379,058.46
  5. Step 5: Solve for x
    x = 4,379,058.46/2,798.53
  6. Step 6: Final answer
    x = 1,564.77

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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.