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Finding the Fourth Proportional to 2,754.74, 3,802.55 and 2,012.51

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Solution

The fourth proportional to 2,754.74, 3,802.55 and 2,012.51 is: 2,778.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.74 : 3,802.55 = 2,012.51 : x
  2. Step 2: Convert to fraction form
    2,754.74/3,802.55 = 2,012.51/x
  3. Step 3: Cross multiply
    2,754.74x = 3,802.55 × 2,012.51
  4. Step 4: Simplify right side
    2,754.74x = 7,652,640.83
  5. Step 5: Solve for x
    x = 7,652,640.83/2,754.74
  6. Step 6: Final answer
    x = 2,778.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.