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Finding the Fourth Proportional to 2,238.34, 3,353.15 and 1,466.50

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Solution

The fourth proportional to 2,238.34, 3,353.15 and 1,466.50 is: 2,196.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.34 : 3,353.15 = 1,466.50 : x
  2. Step 2: Convert to fraction form
    2,238.34/3,353.15 = 1,466.50/x
  3. Step 3: Cross multiply
    2,238.34x = 3,353.15 × 1,466.50
  4. Step 4: Simplify right side
    2,238.34x = 4,917,394.48
  5. Step 5: Solve for x
    x = 4,917,394.48/2,238.34
  6. Step 6: Final answer
    x = 2,196.89

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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.