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Finding the Fourth Proportional to 2,840.54, 3,919.32 and 1,660.91

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Solution

The fourth proportional to 2,840.54, 3,919.32 and 1,660.91 is: 2,291.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.54 : 3,919.32 = 1,660.91 : x
  2. Step 2: Convert to fraction form
    2,840.54/3,919.32 = 1,660.91/x
  3. Step 3: Cross multiply
    2,840.54x = 3,919.32 × 1,660.91
  4. Step 4: Simplify right side
    2,840.54x = 6,509,618.18
  5. Step 5: Solve for x
    x = 6,509,618.18/2,840.54
  6. Step 6: Final answer
    x = 2,291.69

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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.