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Finding the Fourth Proportional to 1,799.27, 2,484.14 and 1,468.49

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Solution

The fourth proportional to 1,799.27, 2,484.14 and 1,468.49 is: 2,027.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,799.27 : 2,484.14 = 1,468.49 : x
  2. Step 2: Convert to fraction form
    1,799.27/2,484.14 = 1,468.49/x
  3. Step 3: Cross multiply
    1,799.27x = 2,484.14 × 1,468.49
  4. Step 4: Simplify right side
    1,799.27x = 3,647,932.21
  5. Step 5: Solve for x
    x = 3,647,932.21/1,799.27
  6. Step 6: Final answer
    x = 2,027.45

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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.