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Finding the Fourth Proportional to 2,291.01, 3,436.53 and 559.64

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Solution

The fourth proportional to 2,291.01, 3,436.53 and 559.64 is: 839.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.01 : 3,436.53 = 559.64 : x
  2. Step 2: Convert to fraction form
    2,291.01/3,436.53 = 559.64/x
  3. Step 3: Cross multiply
    2,291.01x = 3,436.53 × 559.64
  4. Step 4: Simplify right side
    2,291.01x = 1,923,202.47
  5. Step 5: Solve for x
    x = 1,923,202.47/2,291.01
  6. Step 6: Final answer
    x = 839.46

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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.