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Finding the Fourth Proportional to 3,185.65, 4,777.23 and 1,337.62

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Solution

The fourth proportional to 3,185.65, 4,777.23 and 1,337.62 is: 2,005.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.65 : 4,777.23 = 1,337.62 : x
  2. Step 2: Convert to fraction form
    3,185.65/4,777.23 = 1,337.62/x
  3. Step 3: Cross multiply
    3,185.65x = 4,777.23 × 1,337.62
  4. Step 4: Simplify right side
    3,185.65x = 6,390,118.39
  5. Step 5: Solve for x
    x = 6,390,118.39/3,185.65
  6. Step 6: Final answer
    x = 2,005.91

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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.