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Finding the Fourth Proportional to 3,002.63, 4,143.29 and 1,743.53

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Solution

The fourth proportional to 3,002.63, 4,143.29 and 1,743.53 is: 2,405.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.63 : 4,143.29 = 1,743.53 : x
  2. Step 2: Convert to fraction form
    3,002.63/4,143.29 = 1,743.53/x
  3. Step 3: Cross multiply
    3,002.63x = 4,143.29 × 1,743.53
  4. Step 4: Simplify right side
    3,002.63x = 7,223,920.98
  5. Step 5: Solve for x
    x = 7,223,920.98/3,002.63
  6. Step 6: Final answer
    x = 2,405.87

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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.