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Finding the Fourth Proportional to 2,537.90, 3,807.44 and 806.52

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Solution

The fourth proportional to 2,537.90, 3,807.44 and 806.52 is: 1,209.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.90 : 3,807.44 = 806.52 : x
  2. Step 2: Convert to fraction form
    2,537.90/3,807.44 = 806.52/x
  3. Step 3: Cross multiply
    2,537.90x = 3,807.44 × 806.52
  4. Step 4: Simplify right side
    2,537.90x = 3,070,776.51
  5. Step 5: Solve for x
    x = 3,070,776.51/2,537.90
  6. Step 6: Final answer
    x = 1,209.97

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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.