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Finding the Fourth Proportional to 2,784.51, 3,840.84 and 1,944.90

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Solution

The fourth proportional to 2,784.51, 3,840.84 and 1,944.90 is: 2,682.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.51 : 3,840.84 = 1,944.90 : x
  2. Step 2: Convert to fraction form
    2,784.51/3,840.84 = 1,944.90/x
  3. Step 3: Cross multiply
    2,784.51x = 3,840.84 × 1,944.90
  4. Step 4: Simplify right side
    2,784.51x = 7,470,049.72
  5. Step 5: Solve for x
    x = 7,470,049.72/2,784.51
  6. Step 6: Final answer
    x = 2,682.72

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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.