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Finding the Fourth Proportional to 1,546.54, 2,319.12 and 571.96

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Solution

The fourth proportional to 1,546.54, 2,319.12 and 571.96 is: 857.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.54 : 2,319.12 = 571.96 : x
  2. Step 2: Convert to fraction form
    1,546.54/2,319.12 = 571.96/x
  3. Step 3: Cross multiply
    1,546.54x = 2,319.12 × 571.96
  4. Step 4: Simplify right side
    1,546.54x = 1,326,443.88
  5. Step 5: Solve for x
    x = 1,326,443.88/1,546.54
  6. Step 6: Final answer
    x = 857.68

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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.