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Finding the Fourth Proportional to 2,245.59, 3,366.99 and 685.08

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Solution

The fourth proportional to 2,245.59, 3,366.99 and 685.08 is: 1,027.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.59 : 3,366.99 = 685.08 : x
  2. Step 2: Convert to fraction form
    2,245.59/3,366.99 = 685.08/x
  3. Step 3: Cross multiply
    2,245.59x = 3,366.99 × 685.08
  4. Step 4: Simplify right side
    2,245.59x = 2,306,637.25
  5. Step 5: Solve for x
    x = 2,306,637.25/2,245.59
  6. Step 6: Final answer
    x = 1,027.19

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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.