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Finding the Fourth Proportional to 3,183.71, 4,776.64 and 1,643.63

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Solution

The fourth proportional to 3,183.71, 4,776.64 and 1,643.63 is: 2,466.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.71 : 4,776.64 = 1,643.63 : x
  2. Step 2: Convert to fraction form
    3,183.71/4,776.64 = 1,643.63/x
  3. Step 3: Cross multiply
    3,183.71x = 4,776.64 × 1,643.63
  4. Step 4: Simplify right side
    3,183.71x = 7,851,000.81
  5. Step 5: Solve for x
    x = 7,851,000.81/3,183.71
  6. Step 6: Final answer
    x = 2,466.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.