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Finding the Fourth Proportional to 2,728.92, 4,094.20 and 973.70

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Solution

The fourth proportional to 2,728.92, 4,094.20 and 973.70 is: 1,460.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.92 : 4,094.20 = 973.70 : x
  2. Step 2: Convert to fraction form
    2,728.92/4,094.20 = 973.70/x
  3. Step 3: Cross multiply
    2,728.92x = 4,094.20 × 973.70
  4. Step 4: Simplify right side
    2,728.92x = 3,986,522.54
  5. Step 5: Solve for x
    x = 3,986,522.54/2,728.92
  6. Step 6: Final answer
    x = 1,460.84

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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.