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Finding the Fourth Proportional to 2,003.42, 3,005.48 and 965.30

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Solution

The fourth proportional to 2,003.42, 3,005.48 and 965.30 is: 1,448.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.42 : 3,005.48 = 965.30 : x
  2. Step 2: Convert to fraction form
    2,003.42/3,005.48 = 965.30/x
  3. Step 3: Cross multiply
    2,003.42x = 3,005.48 × 965.30
  4. Step 4: Simplify right side
    2,003.42x = 2,901,177.23
  5. Step 5: Solve for x
    x = 2,901,177.23/2,003.42
  6. Step 6: Final answer
    x = 1,448.11

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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.