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Finding the Fourth Proportional to 3,002.07, 4,143.74 and 1,743.69

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Solution

The fourth proportional to 3,002.07, 4,143.74 and 1,743.69 is: 2,406.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.07 : 4,143.74 = 1,743.69 : x
  2. Step 2: Convert to fraction form
    3,002.07/4,143.74 = 1,743.69/x
  3. Step 3: Cross multiply
    3,002.07x = 4,143.74 × 1,743.69
  4. Step 4: Simplify right side
    3,002.07x = 7,225,421.78
  5. Step 5: Solve for x
    x = 7,225,421.78/3,002.07
  6. Step 6: Final answer
    x = 2,406.81

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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.