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Finding the Fourth Proportional to 1,753.92, 2,420.46 and 967.95

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Solution

The fourth proportional to 1,753.92, 2,420.46 and 967.95 is: 1,335.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.92 : 2,420.46 = 967.95 : x
  2. Step 2: Convert to fraction form
    1,753.92/2,420.46 = 967.95/x
  3. Step 3: Cross multiply
    1,753.92x = 2,420.46 × 967.95
  4. Step 4: Simplify right side
    1,753.92x = 2,342,884.26
  5. Step 5: Solve for x
    x = 2,342,884.26/1,753.92
  6. Step 6: Final answer
    x = 1,335.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.