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Finding the Fourth Proportional to 2,000.22, 2,999.35 and 903.82

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Solution

The fourth proportional to 2,000.22, 2,999.35 and 903.82 is: 1,355.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.22 : 2,999.35 = 903.82 : x
  2. Step 2: Convert to fraction form
    2,000.22/2,999.35 = 903.82/x
  3. Step 3: Cross multiply
    2,000.22x = 2,999.35 × 903.82
  4. Step 4: Simplify right side
    2,000.22x = 2,710,872.52
  5. Step 5: Solve for x
    x = 2,710,872.52/2,000.22
  6. Step 6: Final answer
    x = 1,355.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.