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Finding the Fourth Proportional to 2,596.77, 3,894.51 and 1,208.79

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Solution

The fourth proportional to 2,596.77, 3,894.51 and 1,208.79 is: 1,812.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.77 : 3,894.51 = 1,208.79 : x
  2. Step 2: Convert to fraction form
    2,596.77/3,894.51 = 1,208.79/x
  3. Step 3: Cross multiply
    2,596.77x = 3,894.51 × 1,208.79
  4. Step 4: Simplify right side
    2,596.77x = 4,707,644.74
  5. Step 5: Solve for x
    x = 4,707,644.74/2,596.77
  6. Step 6: Final answer
    x = 1,812.88

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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.