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Finding the Fourth Proportional to 2,004.90, 3,005.10 and 965.40

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Solution

The fourth proportional to 2,004.90, 3,005.10 and 965.40 is: 1,447.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.90 : 3,005.10 = 965.40 : x
  2. Step 2: Convert to fraction form
    2,004.90/3,005.10 = 965.40/x
  3. Step 3: Cross multiply
    2,004.90x = 3,005.10 × 965.40
  4. Step 4: Simplify right side
    2,004.90x = 2,901,123.54
  5. Step 5: Solve for x
    x = 2,901,123.54/2,004.90
  6. Step 6: Final answer
    x = 1,447.02

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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.