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Finding the Fourth Proportional to 2,000.02, 2,759.85 and 1,214.02

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Solution

The fourth proportional to 2,000.02, 2,759.85 and 1,214.02 is: 1,675.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.02 : 2,759.85 = 1,214.02 : x
  2. Step 2: Convert to fraction form
    2,000.02/2,759.85 = 1,214.02/x
  3. Step 3: Cross multiply
    2,000.02x = 2,759.85 × 1,214.02
  4. Step 4: Simplify right side
    2,000.02x = 3,350,513.10
  5. Step 5: Solve for x
    x = 3,350,513.10/2,000.02
  6. Step 6: Final answer
    x = 1,675.24

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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.