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Finding the Fourth Proportional to 1,540.54, 2,307.55 and 1,077.22

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Solution

The fourth proportional to 1,540.54, 2,307.55 and 1,077.22 is: 1,613.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.54 : 2,307.55 = 1,077.22 : x
  2. Step 2: Convert to fraction form
    1,540.54/2,307.55 = 1,077.22/x
  3. Step 3: Cross multiply
    1,540.54x = 2,307.55 × 1,077.22
  4. Step 4: Simplify right side
    1,540.54x = 2,485,739.01
  5. Step 5: Solve for x
    x = 2,485,739.01/1,540.54
  6. Step 6: Final answer
    x = 1,613.55

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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.