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Finding the Fourth Proportional to 2,616.45, 3,925.17 and 767.58

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Solution

The fourth proportional to 2,616.45, 3,925.17 and 767.58 is: 1,151.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.45 : 3,925.17 = 767.58 : x
  2. Step 2: Convert to fraction form
    2,616.45/3,925.17 = 767.58/x
  3. Step 3: Cross multiply
    2,616.45x = 3,925.17 × 767.58
  4. Step 4: Simplify right side
    2,616.45x = 3,012,881.99
  5. Step 5: Solve for x
    x = 3,012,881.99/2,616.45
  6. Step 6: Final answer
    x = 1,151.52

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1.5x scale

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.