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Finding the Fourth Proportional to 2,902.22, 4,005.06 and 1,575.92

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Solution

The fourth proportional to 2,902.22, 4,005.06 and 1,575.92 is: 2,174.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.22 : 4,005.06 = 1,575.92 : x
  2. Step 2: Convert to fraction form
    2,902.22/4,005.06 = 1,575.92/x
  3. Step 3: Cross multiply
    2,902.22x = 4,005.06 × 1,575.92
  4. Step 4: Simplify right side
    2,902.22x = 6,311,654.16
  5. Step 5: Solve for x
    x = 6,311,654.16/2,902.22
  6. Step 6: Final answer
    x = 2,174.77

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1.5x scale

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.