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Finding the Fourth Proportional to 3,219.65, 4,830.17 and 1,271.87

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Solution

The fourth proportional to 3,219.65, 4,830.17 and 1,271.87 is: 1,908.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.65 : 4,830.17 = 1,271.87 : x
  2. Step 2: Convert to fraction form
    3,219.65/4,830.17 = 1,271.87/x
  3. Step 3: Cross multiply
    3,219.65x = 4,830.17 × 1,271.87
  4. Step 4: Simplify right side
    3,219.65x = 6,143,317.81
  5. Step 5: Solve for x
    x = 6,143,317.81/3,219.65
  6. Step 6: Final answer
    x = 1,908.07

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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.