Home / 2,902.24-4,005.12-1,575.96

Finding the Fourth Proportional to 2,902.24, 4,005.12 and 1,575.96

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Solution

The fourth proportional to 2,902.24, 4,005.12 and 1,575.96 is: 2,174.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.24 : 4,005.12 = 1,575.96 : x
  2. Step 2: Convert to fraction form
    2,902.24/4,005.12 = 1,575.96/x
  3. Step 3: Cross multiply
    2,902.24x = 4,005.12 × 1,575.96
  4. Step 4: Simplify right side
    2,902.24x = 6,311,888.89
  5. Step 5: Solve for x
    x = 6,311,888.89/2,902.24
  6. Step 6: Final answer
    x = 2,174.83

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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.