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Finding the Fourth Proportional to 2,266.09, 3,398.48 and 785.25

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Solution

The fourth proportional to 2,266.09, 3,398.48 and 785.25 is: 1,177.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.09 : 3,398.48 = 785.25 : x
  2. Step 2: Convert to fraction form
    2,266.09/3,398.48 = 785.25/x
  3. Step 3: Cross multiply
    2,266.09x = 3,398.48 × 785.25
  4. Step 4: Simplify right side
    2,266.09x = 2,668,656.42
  5. Step 5: Solve for x
    x = 2,668,656.42/2,266.09
  6. Step 6: Final answer
    x = 1,177.65

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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.