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Finding the Fourth Proportional to 2,738.01, 3,776.18 and 2,030.07

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Solution

The fourth proportional to 2,738.01, 3,776.18 and 2,030.07 is: 2,799.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.01 : 3,776.18 = 2,030.07 : x
  2. Step 2: Convert to fraction form
    2,738.01/3,776.18 = 2,030.07/x
  3. Step 3: Cross multiply
    2,738.01x = 3,776.18 × 2,030.07
  4. Step 4: Simplify right side
    2,738.01x = 7,665,899.58
  5. Step 5: Solve for x
    x = 7,665,899.58/2,738.01
  6. Step 6: Final answer
    x = 2,799.81

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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.