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Finding the Fourth Proportional to 2,801.01, 4,200.95 and 1,069.23

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Solution

The fourth proportional to 2,801.01, 4,200.95 and 1,069.23 is: 1,603.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.01 : 4,200.95 = 1,069.23 : x
  2. Step 2: Convert to fraction form
    2,801.01/4,200.95 = 1,069.23/x
  3. Step 3: Cross multiply
    2,801.01x = 4,200.95 × 1,069.23
  4. Step 4: Simplify right side
    2,801.01x = 4,491,776.42
  5. Step 5: Solve for x
    x = 4,491,776.42/2,801.01
  6. Step 6: Final answer
    x = 1,603.63

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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.