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Finding the Fourth Proportional to 2,033.18, 3,050.01 and 646.14

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Solution

The fourth proportional to 2,033.18, 3,050.01 and 646.14 is: 969.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.18 : 3,050.01 = 646.14 : x
  2. Step 2: Convert to fraction form
    2,033.18/3,050.01 = 646.14/x
  3. Step 3: Cross multiply
    2,033.18x = 3,050.01 × 646.14
  4. Step 4: Simplify right side
    2,033.18x = 1,970,733.46
  5. Step 5: Solve for x
    x = 1,970,733.46/2,033.18
  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.