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Finding the Fourth Proportional to 2,782.35, 4,149.70 and 2,574.99

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Solution

The fourth proportional to 2,782.35, 4,149.70 and 2,574.99 is: 3,840.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.35 : 4,149.70 = 2,574.99 : x
  2. Step 2: Convert to fraction form
    2,782.35/4,149.70 = 2,574.99/x
  3. Step 3: Cross multiply
    2,782.35x = 4,149.70 × 2,574.99
  4. Step 4: Simplify right side
    2,782.35x = 10,685,429.57
  5. Step 5: Solve for x
    x = 10,685,429.57/2,782.35
  6. Step 6: Final answer
    x = 3,840.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.