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Finding the Fourth Proportional to 2,777.10, 4,162.05 and 2,006.70

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Solution

The fourth proportional to 2,777.10, 4,162.05 and 2,006.70 is: 3,007.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.10 : 4,162.05 = 2,006.70 : x
  2. Step 2: Convert to fraction form
    2,777.10/4,162.05 = 2,006.70/x
  3. Step 3: Cross multiply
    2,777.10x = 4,162.05 × 2,006.70
  4. Step 4: Simplify right side
    2,777.10x = 8,351,985.74
  5. Step 5: Solve for x
    x = 8,351,985.74/2,777.10
  6. Step 6: Final answer
    x = 3,007.45

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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.