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Finding the Fourth Proportional to 3,298.66, 4,950 and 1,717.54

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Solution

The fourth proportional to 3,298.66, 4,950 and 1,717.54 is: 2,577.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.66 : 4,950 = 1,717.54 : x
  2. Step 2: Convert to fraction form
    3,298.66/4,950 = 1,717.54/x
  3. Step 3: Cross multiply
    3,298.66x = 4,950 × 1,717.54
  4. Step 4: Simplify right side
    3,298.66x = 8,501,823
  5. Step 5: Solve for x
    x = 8,501,823/3,298.66
  6. Step 6: Final answer
    x = 2,577.36

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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.