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Finding the Fourth Proportional to 2,054.70, 3,084.78 and 1,133.52

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Solution

The fourth proportional to 2,054.70, 3,084.78 and 1,133.52 is: 1,701.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.70 : 3,084.78 = 1,133.52 : x
  2. Step 2: Convert to fraction form
    2,054.70/3,084.78 = 1,133.52/x
  3. Step 3: Cross multiply
    2,054.70x = 3,084.78 × 1,133.52
  4. Step 4: Simplify right side
    2,054.70x = 3,496,659.83
  5. Step 5: Solve for x
    x = 3,496,659.83/2,054.70
  6. Step 6: Final answer
    x = 1,701.79

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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.