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Finding the Fourth Proportional to 2,693.25, 4,040.28 and 962.28

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Solution

The fourth proportional to 2,693.25, 4,040.28 and 962.28 is: 1,443.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.25 : 4,040.28 = 962.28 : x
  2. Step 2: Convert to fraction form
    2,693.25/4,040.28 = 962.28/x
  3. Step 3: Cross multiply
    2,693.25x = 4,040.28 × 962.28
  4. Step 4: Simplify right side
    2,693.25x = 3,887,880.64
  5. Step 5: Solve for x
    x = 3,887,880.64/2,693.25
  6. Step 6: Final answer
    x = 1,443.56

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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.