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Finding the Fourth Proportional to 2,300.88, 3,173.80 and 2,006.85

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Solution

The fourth proportional to 2,300.88, 3,173.80 and 2,006.85 is: 2,768.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.88 : 3,173.80 = 2,006.85 : x
  2. Step 2: Convert to fraction form
    2,300.88/3,173.80 = 2,006.85/x
  3. Step 3: Cross multiply
    2,300.88x = 3,173.80 × 2,006.85
  4. Step 4: Simplify right side
    2,300.88x = 6,369,340.53
  5. Step 5: Solve for x
    x = 6,369,340.53/2,300.88
  6. Step 6: Final answer
    x = 2,768.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.