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Finding the Fourth Proportional to 2,003.14, 3,005.98 and 848.90

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Solution

The fourth proportional to 2,003.14, 3,005.98 and 848.90 is: 1,273.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.14 : 3,005.98 = 848.90 : x
  2. Step 2: Convert to fraction form
    2,003.14/3,005.98 = 848.90/x
  3. Step 3: Cross multiply
    2,003.14x = 3,005.98 × 848.90
  4. Step 4: Simplify right side
    2,003.14x = 2,551,776.42
  5. Step 5: Solve for x
    x = 2,551,776.42/2,003.14
  6. Step 6: Final answer
    x = 1,273.89

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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.