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Finding the Fourth Proportional to 1,760.62, 2,643.66 and 1,682.71

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Solution

The fourth proportional to 1,760.62, 2,643.66 and 1,682.71 is: 2,526.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.62 : 2,643.66 = 1,682.71 : x
  2. Step 2: Convert to fraction form
    1,760.62/2,643.66 = 1,682.71/x
  3. Step 3: Cross multiply
    1,760.62x = 2,643.66 × 1,682.71
  4. Step 4: Simplify right side
    1,760.62x = 4,448,513.12
  5. Step 5: Solve for x
    x = 4,448,513.12/1,760.62
  6. Step 6: Final answer
    x = 2,526.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.