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Finding the Fourth Proportional to 2,707.24, 4,061.24 and 1,064.04

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Solution

The fourth proportional to 2,707.24, 4,061.24 and 1,064.04 is: 1,596.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.24 : 4,061.24 = 1,064.04 : x
  2. Step 2: Convert to fraction form
    2,707.24/4,061.24 = 1,064.04/x
  3. Step 3: Cross multiply
    2,707.24x = 4,061.24 × 1,064.04
  4. Step 4: Simplify right side
    2,707.24x = 4,321,321.81
  5. Step 5: Solve for x
    x = 4,321,321.81/2,707.24
  6. Step 6: Final answer
    x = 1,596.21

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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.