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Finding the Fourth Proportional to 2,616.51, 3,925.04 and 767.62

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Solution

The fourth proportional to 2,616.51, 3,925.04 and 767.62 is: 1,151.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.51 : 3,925.04 = 767.62 : x
  2. Step 2: Convert to fraction form
    2,616.51/3,925.04 = 767.62/x
  3. Step 3: Cross multiply
    2,616.51x = 3,925.04 × 767.62
  4. Step 4: Simplify right side
    2,616.51x = 3,012,925.55
  5. Step 5: Solve for x
    x = 3,012,925.55/2,616.51
  6. Step 6: Final answer
    x = 1,151.51

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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.