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Finding the Fourth Proportional to 3,050.32, 4,571.14 and 1,660.64

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Solution

The fourth proportional to 3,050.32, 4,571.14 and 1,660.64 is: 2,488.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,050.32 : 4,571.14 = 1,660.64 : x
  2. Step 2: Convert to fraction form
    3,050.32/4,571.14 = 1,660.64/x
  3. Step 3: Cross multiply
    3,050.32x = 4,571.14 × 1,660.64
  4. Step 4: Simplify right side
    3,050.32x = 7,591,017.93
  5. Step 5: Solve for x
    x = 7,591,017.93/3,050.32
  6. Step 6: Final answer
    x = 2,488.60

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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.