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Finding the Fourth Proportional to 2,496.83, 3,745.24 and 2,342.93

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Solution

The fourth proportional to 2,496.83, 3,745.24 and 2,342.93 is: 3,514.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.83 : 3,745.24 = 2,342.93 : x
  2. Step 2: Convert to fraction form
    2,496.83/3,745.24 = 2,342.93/x
  3. Step 3: Cross multiply
    2,496.83x = 3,745.24 × 2,342.93
  4. Step 4: Simplify right side
    2,496.83x = 8,774,810.57
  5. Step 5: Solve for x
    x = 8,774,810.57/2,496.83
  6. Step 6: Final answer
    x = 3,514.39

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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.