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Finding the Fourth Proportional to 2,113.14, 3,152.99 and 2,100.90

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Solution

The fourth proportional to 2,113.14, 3,152.99 and 2,100.90 is: 3,134.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.14 : 3,152.99 = 2,100.90 : x
  2. Step 2: Convert to fraction form
    2,113.14/3,152.99 = 2,100.90/x
  3. Step 3: Cross multiply
    2,113.14x = 3,152.99 × 2,100.90
  4. Step 4: Simplify right side
    2,113.14x = 6,624,116.69
  5. Step 5: Solve for x
    x = 6,624,116.69/2,113.14
  6. Step 6: Final answer
    x = 3,134.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.