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Finding the Fourth Proportional to 2,113.02, 3,168.76 and 631.80

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Solution

The fourth proportional to 2,113.02, 3,168.76 and 631.80 is: 947.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.02 : 3,168.76 = 631.80 : x
  2. Step 2: Convert to fraction form
    2,113.02/3,168.76 = 631.80/x
  3. Step 3: Cross multiply
    2,113.02x = 3,168.76 × 631.80
  4. Step 4: Simplify right side
    2,113.02x = 2,002,022.57
  5. Step 5: Solve for x
    x = 2,002,022.57/2,113.02
  6. Step 6: Final answer
    x = 947.47

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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.