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Finding the Fourth Proportional to 3,184.61, 4,776.91 and 1,797.32

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Solution

The fourth proportional to 3,184.61, 4,776.91 and 1,797.32 is: 2,695.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.61 : 4,776.91 = 1,797.32 : x
  2. Step 2: Convert to fraction form
    3,184.61/4,776.91 = 1,797.32/x
  3. Step 3: Cross multiply
    3,184.61x = 4,776.91 × 1,797.32
  4. Step 4: Simplify right side
    3,184.61x = 8,585,635.88
  5. Step 5: Solve for x
    x = 8,585,635.88/3,184.61
  6. Step 6: Final answer
    x = 2,695.98

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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.