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Finding the Fourth Proportional to 2,801.51, 4,203 and 2,495.46

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Solution

The fourth proportional to 2,801.51, 4,203 and 2,495.46 is: 3,743.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.51 : 4,203 = 2,495.46 : x
  2. Step 2: Convert to fraction form
    2,801.51/4,203 = 2,495.46/x
  3. Step 3: Cross multiply
    2,801.51x = 4,203 × 2,495.46
  4. Step 4: Simplify right side
    2,801.51x = 10,488,418.38
  5. Step 5: Solve for x
    x = 10,488,418.38/2,801.51
  6. Step 6: Final answer
    x = 3,743.85

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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.