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Finding the Fourth Proportional to 3,002.63, 4,144.23 and 1,743.95

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Solution

The fourth proportional to 3,002.63, 4,144.23 and 1,743.95 is: 2,407.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.63 : 4,144.23 = 1,743.95 : x
  2. Step 2: Convert to fraction form
    3,002.63/4,144.23 = 1,743.95/x
  3. Step 3: Cross multiply
    3,002.63x = 4,144.23 × 1,743.95
  4. Step 4: Simplify right side
    3,002.63x = 7,227,340.27
  5. Step 5: Solve for x
    x = 7,227,340.27/3,002.63
  6. Step 6: Final answer
    x = 2,407.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.