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Finding the Fourth Proportional to 1,546.08, 2,319.12 and 571.68

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Solution

The fourth proportional to 1,546.08, 2,319.12 and 571.68 is: 857.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.08 : 2,319.12 = 571.68 : x
  2. Step 2: Convert to fraction form
    1,546.08/2,319.12 = 571.68/x
  3. Step 3: Cross multiply
    1,546.08x = 2,319.12 × 571.68
  4. Step 4: Simplify right side
    1,546.08x = 1,325,794.52
  5. Step 5: Solve for x
    x = 1,325,794.52/1,546.08
  6. Step 6: Final answer
    x = 857.52

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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.