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Finding the Fourth Proportional to 2,002.19, 3,000.85 and 904.23

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Solution

The fourth proportional to 2,002.19, 3,000.85 and 904.23 is: 1,355.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.19 : 3,000.85 = 904.23 : x
  2. Step 2: Convert to fraction form
    2,002.19/3,000.85 = 904.23/x
  3. Step 3: Cross multiply
    2,002.19x = 3,000.85 × 904.23
  4. Step 4: Simplify right side
    2,002.19x = 2,713,456.33
  5. Step 5: Solve for x
    x = 2,713,456.33/2,002.19
  6. Step 6: Final answer
    x = 1,355.25

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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.