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Finding the Fourth Proportional to 2,196.50, 3,031.13 and 1,252.34

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Solution

The fourth proportional to 2,196.50, 3,031.13 and 1,252.34 is: 1,728.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.50 : 3,031.13 = 1,252.34 : x
  2. Step 2: Convert to fraction form
    2,196.50/3,031.13 = 1,252.34/x
  3. Step 3: Cross multiply
    2,196.50x = 3,031.13 × 1,252.34
  4. Step 4: Simplify right side
    2,196.50x = 3,796,005.34
  5. Step 5: Solve for x
    x = 3,796,005.34/2,196.50
  6. Step 6: Final answer
    x = 1,728.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.