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Finding the Fourth Proportional to 2,782.95, 3,840.47 and 1,540.95

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Solution

The fourth proportional to 2,782.95, 3,840.47 and 1,540.95 is: 2,126.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.95 : 3,840.47 = 1,540.95 : x
  2. Step 2: Convert to fraction form
    2,782.95/3,840.47 = 1,540.95/x
  3. Step 3: Cross multiply
    2,782.95x = 3,840.47 × 1,540.95
  4. Step 4: Simplify right side
    2,782.95x = 5,917,972.25
  5. Step 5: Solve for x
    x = 5,917,972.25/2,782.95
  6. Step 6: Final answer
    x = 2,126.51

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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.