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Finding the Fourth Proportional to 1,435.65, 2,150.87 and 1,206.01

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Solution

The fourth proportional to 1,435.65, 2,150.87 and 1,206.01 is: 1,806.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.65 : 2,150.87 = 1,206.01 : x
  2. Step 2: Convert to fraction form
    1,435.65/2,150.87 = 1,206.01/x
  3. Step 3: Cross multiply
    1,435.65x = 2,150.87 × 1,206.01
  4. Step 4: Simplify right side
    1,435.65x = 2,593,964.70
  5. Step 5: Solve for x
    x = 2,593,964.70/1,435.65
  6. Step 6: Final answer
    x = 1,806.83

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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.