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Finding the Fourth Proportional to 2,594.77, 3,891.52 and 1,206.79

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Solution

The fourth proportional to 2,594.77, 3,891.52 and 1,206.79 is: 1,809.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.77 : 3,891.52 = 1,206.79 : x
  2. Step 2: Convert to fraction form
    2,594.77/3,891.52 = 1,206.79/x
  3. Step 3: Cross multiply
    2,594.77x = 3,891.52 × 1,206.79
  4. Step 4: Simplify right side
    2,594.77x = 4,696,247.42
  5. Step 5: Solve for x
    x = 4,696,247.42/2,594.77
  6. Step 6: Final answer
    x = 1,809.89

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