Home / 2,462.08-3,705.52-1,849

Finding the Fourth Proportional to 2,462.08, 3,705.52 and 1,849

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Solution

The fourth proportional to 2,462.08, 3,705.52 and 1,849 is: 2,782.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.08 : 3,705.52 = 1,849 : x
  2. Step 2: Convert to fraction form
    2,462.08/3,705.52 = 1,849/x
  3. Step 3: Cross multiply
    2,462.08x = 3,705.52 × 1,849
  4. Step 4: Simplify right side
    2,462.08x = 6,851,506.48
  5. Step 5: Solve for x
    x = 6,851,506.48/2,462.08
  6. Step 6: Final answer
    x = 2,782.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.