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Finding the Fourth Proportional to 3,196.92, 4,411.56 and 1,799.64

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Solution

The fourth proportional to 3,196.92, 4,411.56 and 1,799.64 is: 2,483.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.92 : 4,411.56 = 1,799.64 : x
  2. Step 2: Convert to fraction form
    3,196.92/4,411.56 = 1,799.64/x
  3. Step 3: Cross multiply
    3,196.92x = 4,411.56 × 1,799.64
  4. Step 4: Simplify right side
    3,196.92x = 7,939,219.84
  5. Step 5: Solve for x
    x = 7,939,219.84/3,196.92
  6. Step 6: Final answer
    x = 2,483.40

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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.