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Finding the Fourth Proportional to 2,231.93, 3,347.51 and 588.49

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Solution

The fourth proportional to 2,231.93, 3,347.51 and 588.49 is: 882.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.93 : 3,347.51 = 588.49 : x
  2. Step 2: Convert to fraction form
    2,231.93/3,347.51 = 588.49/x
  3. Step 3: Cross multiply
    2,231.93x = 3,347.51 × 588.49
  4. Step 4: Simplify right side
    2,231.93x = 1,969,981.82
  5. Step 5: Solve for x
    x = 1,969,981.82/2,231.93
  6. Step 6: Final answer
    x = 882.64

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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.