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Finding the Fourth Proportional to 1,743.95, 2,615.91 and 445.52

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Solution

The fourth proportional to 1,743.95, 2,615.91 and 445.52 is: 668.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.95 : 2,615.91 = 445.52 : x
  2. Step 2: Convert to fraction form
    1,743.95/2,615.91 = 445.52/x
  3. Step 3: Cross multiply
    1,743.95x = 2,615.91 × 445.52
  4. Step 4: Simplify right side
    1,743.95x = 1,165,440.22
  5. Step 5: Solve for x
    x = 1,165,440.22/1,743.95
  6. Step 6: Final answer
    x = 668.28

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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.