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Finding the Fourth Proportional to 3,018.71, 4,165.92 and 1,760.57

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Solution

The fourth proportional to 3,018.71, 4,165.92 and 1,760.57 is: 2,429.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,018.71 : 4,165.92 = 1,760.57 : x
  2. Step 2: Convert to fraction form
    3,018.71/4,165.92 = 1,760.57/x
  3. Step 3: Cross multiply
    3,018.71x = 4,165.92 × 1,760.57
  4. Step 4: Simplify right side
    3,018.71x = 7,334,372.94
  5. Step 5: Solve for x
    x = 7,334,372.94/3,018.71
  6. Step 6: Final answer
    x = 2,429.64

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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.