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Finding the Fourth Proportional to 2,946.08, 4,418.78 and 754.82

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Solution

The fourth proportional to 2,946.08, 4,418.78 and 754.82 is: 1,132.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.08 : 4,418.78 = 754.82 : x
  2. Step 2: Convert to fraction form
    2,946.08/4,418.78 = 754.82/x
  3. Step 3: Cross multiply
    2,946.08x = 4,418.78 × 754.82
  4. Step 4: Simplify right side
    2,946.08x = 3,335,383.52
  5. Step 5: Solve for x
    x = 3,335,383.52/2,946.08
  6. Step 6: Final answer
    x = 1,132.14

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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.