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Finding the Fourth Proportional to 2,785.97, 4,180.58 and 1,054.73

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Solution

The fourth proportional to 2,785.97, 4,180.58 and 1,054.73 is: 1,582.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.97 : 4,180.58 = 1,054.73 : x
  2. Step 2: Convert to fraction form
    2,785.97/4,180.58 = 1,054.73/x
  3. Step 3: Cross multiply
    2,785.97x = 4,180.58 × 1,054.73
  4. Step 4: Simplify right side
    2,785.97x = 4,409,356.97
  5. Step 5: Solve for x
    x = 4,409,356.97/2,785.97
  6. Step 6: Final answer
    x = 1,582.70

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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.