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Finding the Fourth Proportional to 2,245.69, 3,368.45 and 685.63

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Solution

The fourth proportional to 2,245.69, 3,368.45 and 685.63 is: 1,028.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.69 : 3,368.45 = 685.63 : x
  2. Step 2: Convert to fraction form
    2,245.69/3,368.45 = 685.63/x
  3. Step 3: Cross multiply
    2,245.69x = 3,368.45 × 685.63
  4. Step 4: Simplify right side
    2,245.69x = 2,309,497.35
  5. Step 5: Solve for x
    x = 2,309,497.35/2,245.69
  6. Step 6: Final answer
    x = 1,028.42

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1.5x scale

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.