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Finding the Fourth Proportional to 2,032.57, 3,048.96 and 646.02

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Solution

The fourth proportional to 2,032.57, 3,048.96 and 646.02 is: 969.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.57 : 3,048.96 = 646.02 : x
  2. Step 2: Convert to fraction form
    2,032.57/3,048.96 = 646.02/x
  3. Step 3: Cross multiply
    2,032.57x = 3,048.96 × 646.02
  4. Step 4: Simplify right side
    2,032.57x = 1,969,673.89
  5. Step 5: Solve for x
    x = 1,969,673.89/2,032.57
  6. Step 6: Final answer
    x = 969.06

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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.