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Finding the Fourth Proportional to 1,546.29, 2,319.63 and 573.07

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Solution

The fourth proportional to 1,546.29, 2,319.63 and 573.07 is: 859.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.29 : 2,319.63 = 573.07 : x
  2. Step 2: Convert to fraction form
    1,546.29/2,319.63 = 573.07/x
  3. Step 3: Cross multiply
    1,546.29x = 2,319.63 × 573.07
  4. Step 4: Simplify right side
    1,546.29x = 1,329,310.36
  5. Step 5: Solve for x
    x = 1,329,310.36/1,546.29
  6. Step 6: Final answer
    x = 859.68

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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.