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Finding the Fourth Proportional to 2,196.81, 3,026.52 and 1,532.52

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Solution

The fourth proportional to 2,196.81, 3,026.52 and 1,532.52 is: 2,111.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.81 : 3,026.52 = 1,532.52 : x
  2. Step 2: Convert to fraction form
    2,196.81/3,026.52 = 1,532.52/x
  3. Step 3: Cross multiply
    2,196.81x = 3,026.52 × 1,532.52
  4. Step 4: Simplify right side
    2,196.81x = 4,638,202.43
  5. Step 5: Solve for x
    x = 4,638,202.43/2,196.81
  6. Step 6: Final answer
    x = 2,111.34

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Why These Related Problems?

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