Home / 2,828.08-3,902.76-1,586

Finding the Fourth Proportional to 2,828.08, 3,902.76 and 1,586

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Solution

The fourth proportional to 2,828.08, 3,902.76 and 1,586 is: 2,188.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.08 : 3,902.76 = 1,586 : x
  2. Step 2: Convert to fraction form
    2,828.08/3,902.76 = 1,586/x
  3. Step 3: Cross multiply
    2,828.08x = 3,902.76 × 1,586
  4. Step 4: Simplify right side
    2,828.08x = 6,189,777.36
  5. Step 5: Solve for x
    x = 6,189,777.36/2,828.08
  6. Step 6: Final answer
    x = 2,188.69

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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.