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Finding the Fourth Proportional to 2,537.10, 3,502.14 and 1,879.26

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Solution

The fourth proportional to 2,537.10, 3,502.14 and 1,879.26 is: 2,594.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.10 : 3,502.14 = 1,879.26 : x
  2. Step 2: Convert to fraction form
    2,537.10/3,502.14 = 1,879.26/x
  3. Step 3: Cross multiply
    2,537.10x = 3,502.14 × 1,879.26
  4. Step 4: Simplify right side
    2,537.10x = 6,581,431.62
  5. Step 5: Solve for x
    x = 6,581,431.62/2,537.10
  6. Step 6: Final answer
    x = 2,594.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.