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Finding the Fourth Proportional to 3,245, 4,870.97 and 1,397.03

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Solution

The fourth proportional to 3,245, 4,870.97 and 1,397.03 is: 2,097.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,245 : 4,870.97 = 1,397.03 : x
  2. Step 2: Convert to fraction form
    3,245/4,870.97 = 1,397.03/x
  3. Step 3: Cross multiply
    3,245x = 4,870.97 × 1,397.03
  4. Step 4: Simplify right side
    3,245x = 6,804,884.23
  5. Step 5: Solve for x
    x = 6,804,884.23/3,245
  6. Step 6: Final answer
    x = 2,097.04

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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.