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Finding the Fourth Proportional to 3,297, 4,549.86 and 1,900.02

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Solution

The fourth proportional to 3,297, 4,549.86 and 1,900.02 is: 2,622.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297 : 4,549.86 = 1,900.02 : x
  2. Step 2: Convert to fraction form
    3,297/4,549.86 = 1,900.02/x
  3. Step 3: Cross multiply
    3,297x = 4,549.86 × 1,900.02
  4. Step 4: Simplify right side
    3,297x = 8,644,825.00
  5. Step 5: Solve for x
    x = 8,644,825.00/3,297
  6. Step 6: Final answer
    x = 2,622.03

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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.