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Finding the Fourth Proportional to 1,594.92, 2,201.36 and 932.08

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Solution

The fourth proportional to 1,594.92, 2,201.36 and 932.08 is: 1,286.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.92 : 2,201.36 = 932.08 : x
  2. Step 2: Convert to fraction form
    1,594.92/2,201.36 = 932.08/x
  3. Step 3: Cross multiply
    1,594.92x = 2,201.36 × 932.08
  4. Step 4: Simplify right side
    1,594.92x = 2,051,843.63
  5. Step 5: Solve for x
    x = 2,051,843.63/1,594.92
  6. Step 6: Final answer
    x = 1,286.49

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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.