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Finding the Fourth Proportional to 3,079.62, 4,612.07 and 1,777.14

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Solution

The fourth proportional to 3,079.62, 4,612.07 and 1,777.14 is: 2,661.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,079.62 : 4,612.07 = 1,777.14 : x
  2. Step 2: Convert to fraction form
    3,079.62/4,612.07 = 1,777.14/x
  3. Step 3: Cross multiply
    3,079.62x = 4,612.07 × 1,777.14
  4. Step 4: Simplify right side
    3,079.62x = 8,196,294.08
  5. Step 5: Solve for x
    x = 8,196,294.08/3,079.62
  6. Step 6: Final answer
    x = 2,661.46

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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.