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Finding the Fourth Proportional to 2,240.89, 3,366.50 and 1,410.54

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Solution

The fourth proportional to 2,240.89, 3,366.50 and 1,410.54 is: 2,119.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,240.89 : 3,366.50 = 1,410.54 : x
  2. Step 2: Convert to fraction form
    2,240.89/3,366.50 = 1,410.54/x
  3. Step 3: Cross multiply
    2,240.89x = 3,366.50 × 1,410.54
  4. Step 4: Simplify right side
    2,240.89x = 4,748,563.23
  5. Step 5: Solve for x
    x = 4,748,563.23/2,240.89
  6. Step 6: Final answer
    x = 2,119.05

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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.