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Finding the Fourth Proportional to 2,777.36, 4,172.80 and 1,790.66

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Solution

The fourth proportional to 2,777.36, 4,172.80 and 1,790.66 is: 2,690.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.36 : 4,172.80 = 1,790.66 : x
  2. Step 2: Convert to fraction form
    2,777.36/4,172.80 = 1,790.66/x
  3. Step 3: Cross multiply
    2,777.36x = 4,172.80 × 1,790.66
  4. Step 4: Simplify right side
    2,777.36x = 7,472,040.71
  5. Step 5: Solve for x
    x = 7,472,040.71/2,777.36
  6. Step 6: Final answer
    x = 2,690.34

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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.