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Finding the Fourth Proportional to 2,006.68, 2,764.98 and 1,868.14

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Solution

The fourth proportional to 2,006.68, 2,764.98 and 1,868.14 is: 2,574.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.68 : 2,764.98 = 1,868.14 : x
  2. Step 2: Convert to fraction form
    2,006.68/2,764.98 = 1,868.14/x
  3. Step 3: Cross multiply
    2,006.68x = 2,764.98 × 1,868.14
  4. Step 4: Simplify right side
    2,006.68x = 5,165,369.74
  5. Step 5: Solve for x
    x = 5,165,369.74/2,006.68
  6. Step 6: Final answer
    x = 2,574.09

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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.