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Finding the Fourth Proportional to 2,166.84, 2,991.12 and 1,468.62

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Solution

The fourth proportional to 2,166.84, 2,991.12 and 1,468.62 is: 2,027.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.84 : 2,991.12 = 1,468.62 : x
  2. Step 2: Convert to fraction form
    2,166.84/2,991.12 = 1,468.62/x
  3. Step 3: Cross multiply
    2,166.84x = 2,991.12 × 1,468.62
  4. Step 4: Simplify right side
    2,166.84x = 4,392,818.65
  5. Step 5: Solve for x
    x = 4,392,818.65/2,166.84
  6. Step 6: Final answer
    x = 2,027.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.