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Finding the Fourth Proportional to 2,310.02, 3,189.02 and 1,603.09

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Solution

The fourth proportional to 2,310.02, 3,189.02 and 1,603.09 is: 2,213.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.02 : 3,189.02 = 1,603.09 : x
  2. Step 2: Convert to fraction form
    2,310.02/3,189.02 = 1,603.09/x
  3. Step 3: Cross multiply
    2,310.02x = 3,189.02 × 1,603.09
  4. Step 4: Simplify right side
    2,310.02x = 5,112,291.06
  5. Step 5: Solve for x
    x = 5,112,291.06/2,310.02
  6. Step 6: Final answer
    x = 2,213.10

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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.