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Finding the Fourth Proportional to 1,777.71, 2,668.44 and 998.38

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Solution

The fourth proportional to 1,777.71, 2,668.44 and 998.38 is: 1,498.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.71 : 2,668.44 = 998.38 : x
  2. Step 2: Convert to fraction form
    1,777.71/2,668.44 = 998.38/x
  3. Step 3: Cross multiply
    1,777.71x = 2,668.44 × 998.38
  4. Step 4: Simplify right side
    1,777.71x = 2,664,114.20
  5. Step 5: Solve for x
    x = 2,664,114.20/1,777.71
  6. Step 6: Final answer
    x = 1,498.62

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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.