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Finding the Fourth Proportional to 1,501.65, 2,253.42 and 1,489.27

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Solution

The fourth proportional to 1,501.65, 2,253.42 and 1,489.27 is: 2,234.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.65 : 2,253.42 = 1,489.27 : x
  2. Step 2: Convert to fraction form
    1,501.65/2,253.42 = 1,489.27/x
  3. Step 3: Cross multiply
    1,501.65x = 2,253.42 × 1,489.27
  4. Step 4: Simplify right side
    1,501.65x = 3,355,960.01
  5. Step 5: Solve for x
    x = 3,355,960.01/1,501.65
  6. Step 6: Final answer
    x = 2,234.85

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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.