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Finding the Fourth Proportional to 1,777.59, 2,454.62 and 1,115.58

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Solution

The fourth proportional to 1,777.59, 2,454.62 and 1,115.58 is: 1,540.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.59 : 2,454.62 = 1,115.58 : x
  2. Step 2: Convert to fraction form
    1,777.59/2,454.62 = 1,115.58/x
  3. Step 3: Cross multiply
    1,777.59x = 2,454.62 × 1,115.58
  4. Step 4: Simplify right side
    1,777.59x = 2,738,324.98
  5. Step 5: Solve for x
    x = 2,738,324.98/1,777.59
  6. Step 6: Final answer
    x = 1,540.47

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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.