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Finding the Fourth Proportional to 2,071.43, 3,107.31 and 590.65

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Solution

The fourth proportional to 2,071.43, 3,107.31 and 590.65 is: 886.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.43 : 3,107.31 = 590.65 : x
  2. Step 2: Convert to fraction form
    2,071.43/3,107.31 = 590.65/x
  3. Step 3: Cross multiply
    2,071.43x = 3,107.31 × 590.65
  4. Step 4: Simplify right side
    2,071.43x = 1,835,324.88
  5. Step 5: Solve for x
    x = 1,835,324.88/2,071.43
  6. Step 6: Final answer
    x = 886.02

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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.