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Finding the Fourth Proportional to 2,291.04, 3,436.56 and 559.67

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Solution

The fourth proportional to 2,291.04, 3,436.56 and 559.67 is: 839.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.04 : 3,436.56 = 559.67 : x
  2. Step 2: Convert to fraction form
    2,291.04/3,436.56 = 559.67/x
  3. Step 3: Cross multiply
    2,291.04x = 3,436.56 × 559.67
  4. Step 4: Simplify right side
    2,291.04x = 1,923,322.35
  5. Step 5: Solve for x
    x = 1,923,322.35/2,291.04
  6. Step 6: Final answer
    x = 839.50

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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.