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Finding the Fourth Proportional to 2,149.97, 3,225.17 and 590.07

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Solution

The fourth proportional to 2,149.97, 3,225.17 and 590.07 is: 885.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.97 : 3,225.17 = 590.07 : x
  2. Step 2: Convert to fraction form
    2,149.97/3,225.17 = 590.07/x
  3. Step 3: Cross multiply
    2,149.97x = 3,225.17 × 590.07
  4. Step 4: Simplify right side
    2,149.97x = 1,903,077.54
  5. Step 5: Solve for x
    x = 1,903,077.54/2,149.97
  6. Step 6: Final answer
    x = 885.16

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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.