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Finding the Fourth Proportional to 1,743.29, 2,615.20 and 573.02

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Solution

The fourth proportional to 1,743.29, 2,615.20 and 573.02 is: 859.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.29 : 2,615.20 = 573.02 : x
  2. Step 2: Convert to fraction form
    1,743.29/2,615.20 = 573.02/x
  3. Step 3: Cross multiply
    1,743.29x = 2,615.20 × 573.02
  4. Step 4: Simplify right side
    1,743.29x = 1,498,574.53
  5. Step 5: Solve for x
    x = 1,498,574.53/1,743.29
  6. Step 6: Final answer
    x = 859.63

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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.