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Finding the Fourth Proportional to 2,574.89, 3,861.42 and 1,588.23

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Solution

The fourth proportional to 2,574.89, 3,861.42 and 1,588.23 is: 2,381.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.89 : 3,861.42 = 1,588.23 : x
  2. Step 2: Convert to fraction form
    2,574.89/3,861.42 = 1,588.23/x
  3. Step 3: Cross multiply
    2,574.89x = 3,861.42 × 1,588.23
  4. Step 4: Simplify right side
    2,574.89x = 6,132,836.92
  5. Step 5: Solve for x
    x = 6,132,836.92/2,574.89
  6. Step 6: Final answer
    x = 2,381.79

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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.