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Finding the Fourth Proportional to 1,613.50, 2,417.11 and 768

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Solution

The fourth proportional to 1,613.50, 2,417.11 and 768 is: 1,150.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.50 : 2,417.11 = 768 : x
  2. Step 2: Convert to fraction form
    1,613.50/2,417.11 = 768/x
  3. Step 3: Cross multiply
    1,613.50x = 2,417.11 × 768
  4. Step 4: Simplify right side
    1,613.50x = 1,856,340.48
  5. Step 5: Solve for x
    x = 1,856,340.48/1,613.50
  6. Step 6: Final answer
    x = 1,150.51

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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.