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Finding the Fourth Proportional to 1,546.24, 2,319.66 and 572.34

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Solution

The fourth proportional to 1,546.24, 2,319.66 and 572.34 is: 858.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.24 : 2,319.66 = 572.34 : x
  2. Step 2: Convert to fraction form
    1,546.24/2,319.66 = 572.34/x
  3. Step 3: Cross multiply
    1,546.24x = 2,319.66 × 572.34
  4. Step 4: Simplify right side
    1,546.24x = 1,327,634.20
  5. Step 5: Solve for x
    x = 1,327,634.20/1,546.24
  6. Step 6: Final answer
    x = 858.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.