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Finding the Fourth Proportional to 2,207, 3,298.29 and 1,772.12

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Solution

The fourth proportional to 2,207, 3,298.29 and 1,772.12 is: 2,648.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207 : 3,298.29 = 1,772.12 : x
  2. Step 2: Convert to fraction form
    2,207/3,298.29 = 1,772.12/x
  3. Step 3: Cross multiply
    2,207x = 3,298.29 × 1,772.12
  4. Step 4: Simplify right side
    2,207x = 5,844,965.67
  5. Step 5: Solve for x
    x = 5,844,965.67/2,207
  6. Step 6: Final answer
    x = 2,648.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.