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Finding the Fourth Proportional to 2,104.69, 3,157.03 and 565.69

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Solution

The fourth proportional to 2,104.69, 3,157.03 and 565.69 is: 848.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.69 : 3,157.03 = 565.69 : x
  2. Step 2: Convert to fraction form
    2,104.69/3,157.03 = 565.69/x
  3. Step 3: Cross multiply
    2,104.69x = 3,157.03 × 565.69
  4. Step 4: Simplify right side
    2,104.69x = 1,785,900.30
  5. Step 5: Solve for x
    x = 1,785,900.30/2,104.69
  6. Step 6: Final answer
    x = 848.53

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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.