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Finding the Fourth Proportional to 1,546.90, 2,319.09 and 559.42

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Solution

The fourth proportional to 1,546.90, 2,319.09 and 559.42 is: 838.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.90 : 2,319.09 = 559.42 : x
  2. Step 2: Convert to fraction form
    1,546.90/2,319.09 = 559.42/x
  3. Step 3: Cross multiply
    1,546.90x = 2,319.09 × 559.42
  4. Step 4: Simplify right side
    1,546.90x = 1,297,345.33
  5. Step 5: Solve for x
    x = 1,297,345.33/1,546.90
  6. Step 6: Final answer
    x = 838.67

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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.