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Finding the Fourth Proportional to 4,253.65, 6,381.99 and 1,480.21

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Solution

The fourth proportional to 4,253.65, 6,381.99 and 1,480.21 is: 2,220.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,253.65 : 6,381.99 = 1,480.21 : x
  2. Step 2: Convert to fraction form
    4,253.65/6,381.99 = 1,480.21/x
  3. Step 3: Cross multiply
    4,253.65x = 6,381.99 × 1,480.21
  4. Step 4: Simplify right side
    4,253.65x = 9,446,669.46
  5. Step 5: Solve for x
    x = 9,446,669.46/4,253.65
  6. Step 6: Final answer
    x = 2,220.84

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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.