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Finding the Fourth Proportional to 3,290.59, 4,935.99 and 1,099.51

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Solution

The fourth proportional to 3,290.59, 4,935.99 and 1,099.51 is: 1,649.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.59 : 4,935.99 = 1,099.51 : x
  2. Step 2: Convert to fraction form
    3,290.59/4,935.99 = 1,099.51/x
  3. Step 3: Cross multiply
    3,290.59x = 4,935.99 × 1,099.51
  4. Step 4: Simplify right side
    3,290.59x = 5,427,170.36
  5. Step 5: Solve for x
    x = 5,427,170.36/3,290.59
  6. Step 6: Final answer
    x = 1,649.30

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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.