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Finding the Fourth Proportional to 2,231.68, 3,347.14 and 588.24

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Solution

The fourth proportional to 2,231.68, 3,347.14 and 588.24 is: 882.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.68 : 3,347.14 = 588.24 : x
  2. Step 2: Convert to fraction form
    2,231.68/3,347.14 = 588.24/x
  3. Step 3: Cross multiply
    2,231.68x = 3,347.14 × 588.24
  4. Step 4: Simplify right side
    2,231.68x = 1,968,921.63
  5. Step 5: Solve for x
    x = 1,968,921.63/2,231.68
  6. Step 6: Final answer
    x = 882.26

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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.