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Finding the Fourth Proportional to 2,140.73, 3,213.12 and 1,410.78

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Solution

The fourth proportional to 2,140.73, 3,213.12 and 1,410.78 is: 2,117.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.73 : 3,213.12 = 1,410.78 : x
  2. Step 2: Convert to fraction form
    2,140.73/3,213.12 = 1,410.78/x
  3. Step 3: Cross multiply
    2,140.73x = 3,213.12 × 1,410.78
  4. Step 4: Simplify right side
    2,140.73x = 4,533,005.43
  5. Step 5: Solve for x
    x = 4,533,005.43/2,140.73
  6. Step 6: Final answer
    x = 2,117.51

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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.