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Finding the Fourth Proportional to 2,196, 3,289.88 and 1,099.08

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Solution

The fourth proportional to 2,196, 3,289.88 and 1,099.08 is: 1,646.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196 : 3,289.88 = 1,099.08 : x
  2. Step 2: Convert to fraction form
    2,196/3,289.88 = 1,099.08/x
  3. Step 3: Cross multiply
    2,196x = 3,289.88 × 1,099.08
  4. Step 4: Simplify right side
    2,196x = 3,615,841.31
  5. Step 5: Solve for x
    x = 3,615,841.31/2,196
  6. Step 6: Final answer
    x = 1,646.56

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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.