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Finding the Fourth Proportional to 2,729.13, 4,094.28 and 974.22

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Solution

The fourth proportional to 2,729.13, 4,094.28 and 974.22 is: 1,461.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.13 : 4,094.28 = 974.22 : x
  2. Step 2: Convert to fraction form
    2,729.13/4,094.28 = 974.22/x
  3. Step 3: Cross multiply
    2,729.13x = 4,094.28 × 974.22
  4. Step 4: Simplify right side
    2,729.13x = 3,988,729.46
  5. Step 5: Solve for x
    x = 3,988,729.46/2,729.13
  6. Step 6: Final answer
    x = 1,461.54

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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.