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Finding the Fourth Proportional to 1,651.52, 2,279.03 and 905.42

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Solution

The fourth proportional to 1,651.52, 2,279.03 and 905.42 is: 1,249.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.52 : 2,279.03 = 905.42 : x
  2. Step 2: Convert to fraction form
    1,651.52/2,279.03 = 905.42/x
  3. Step 3: Cross multiply
    1,651.52x = 2,279.03 × 905.42
  4. Step 4: Simplify right side
    1,651.52x = 2,063,480.51
  5. Step 5: Solve for x
    x = 2,063,480.51/1,651.52
  6. Step 6: Final answer
    x = 1,249.44

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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.