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Finding the Fourth Proportional to 2,033.15, 3,050.10 and 646.11

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Solution

The fourth proportional to 2,033.15, 3,050.10 and 646.11 is: 969.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.15 : 3,050.10 = 646.11 : x
  2. Step 2: Convert to fraction form
    2,033.15/3,050.10 = 646.11/x
  3. Step 3: Cross multiply
    2,033.15x = 3,050.10 × 646.11
  4. Step 4: Simplify right side
    2,033.15x = 1,970,700.11
  5. Step 5: Solve for x
    x = 1,970,700.11/2,033.15
  6. Step 6: Final answer
    x = 969.29

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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.