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Finding the Fourth Proportional to 2,707.42, 4,061.03 and 858.73

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Solution

The fourth proportional to 2,707.42, 4,061.03 and 858.73 is: 1,288.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.42 : 4,061.03 = 858.73 : x
  2. Step 2: Convert to fraction form
    2,707.42/4,061.03 = 858.73/x
  3. Step 3: Cross multiply
    2,707.42x = 4,061.03 × 858.73
  4. Step 4: Simplify right side
    2,707.42x = 3,487,328.29
  5. Step 5: Solve for x
    x = 3,487,328.29/2,707.42
  6. Step 6: Final answer
    x = 1,288.06

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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.