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Finding the Fourth Proportional to 1,788.87, 2,684.04 and 966.18

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Solution

The fourth proportional to 1,788.87, 2,684.04 and 966.18 is: 1,449.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.87 : 2,684.04 = 966.18 : x
  2. Step 2: Convert to fraction form
    1,788.87/2,684.04 = 966.18/x
  3. Step 3: Cross multiply
    1,788.87x = 2,684.04 × 966.18
  4. Step 4: Simplify right side
    1,788.87x = 2,593,252.35
  5. Step 5: Solve for x
    x = 2,593,252.35/1,788.87
  6. Step 6: Final answer
    x = 1,449.66

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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.