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Finding the Fourth Proportional to 2,000.07, 2,999.69 and 538.88

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Solution

The fourth proportional to 2,000.07, 2,999.69 and 538.88 is: 808.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.07 : 2,999.69 = 538.88 : x
  2. Step 2: Convert to fraction form
    2,000.07/2,999.69 = 538.88/x
  3. Step 3: Cross multiply
    2,000.07x = 2,999.69 × 538.88
  4. Step 4: Simplify right side
    2,000.07x = 1,616,455.25
  5. Step 5: Solve for x
    x = 1,616,455.25/2,000.07
  6. Step 6: Final answer
    x = 808.20

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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.