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Finding the Fourth Proportional to 2,033.16, 3,048.36 and 646.08

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Solution

The fourth proportional to 2,033.16, 3,048.36 and 646.08 is: 968.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.16 : 3,048.36 = 646.08 : x
  2. Step 2: Convert to fraction form
    2,033.16/3,048.36 = 646.08/x
  3. Step 3: Cross multiply
    2,033.16x = 3,048.36 × 646.08
  4. Step 4: Simplify right side
    2,033.16x = 1,969,484.43
  5. Step 5: Solve for x
    x = 1,969,484.43/2,033.16
  6. Step 6: Final answer
    x = 968.68

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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.