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Finding the Fourth Proportional to 4,204.65, 6,306.84 and 1,737.59

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Solution

The fourth proportional to 4,204.65, 6,306.84 and 1,737.59 is: 2,606.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,204.65 : 6,306.84 = 1,737.59 : x
  2. Step 2: Convert to fraction form
    4,204.65/6,306.84 = 1,737.59/x
  3. Step 3: Cross multiply
    4,204.65x = 6,306.84 × 1,737.59
  4. Step 4: Simplify right side
    4,204.65x = 10,958,670.58
  5. Step 5: Solve for x
    x = 10,958,670.58/4,204.65
  6. Step 6: Final answer
    x = 2,606.32

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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.