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Finding the Fourth Proportional to 2,032.77, 3,049.61 and 646.53

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Solution

The fourth proportional to 2,032.77, 3,049.61 and 646.53 is: 969.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.77 : 3,049.61 = 646.53 : x
  2. Step 2: Convert to fraction form
    2,032.77/3,049.61 = 646.53/x
  3. Step 3: Cross multiply
    2,032.77x = 3,049.61 × 646.53
  4. Step 4: Simplify right side
    2,032.77x = 1,971,661.12
  5. Step 5: Solve for x
    x = 1,971,661.12/2,032.77
  6. Step 6: Final answer
    x = 969.94

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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.