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Finding the Fourth Proportional to 2,231.63, 3,347.16 and 588.32

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Solution

The fourth proportional to 2,231.63, 3,347.16 and 588.32 is: 882.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.63 : 3,347.16 = 588.32 : x
  2. Step 2: Convert to fraction form
    2,231.63/3,347.16 = 588.32/x
  3. Step 3: Cross multiply
    2,231.63x = 3,347.16 × 588.32
  4. Step 4: Simplify right side
    2,231.63x = 1,969,184.44
  5. Step 5: Solve for x
    x = 1,969,184.44/2,231.63
  6. Step 6: Final answer
    x = 882.40

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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.