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Finding the Fourth Proportional to 1,798.23, 2,694.92 and 933.15

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Solution

The fourth proportional to 1,798.23, 2,694.92 and 933.15 is: 1,398.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.23 : 2,694.92 = 933.15 : x
  2. Step 2: Convert to fraction form
    1,798.23/2,694.92 = 933.15/x
  3. Step 3: Cross multiply
    1,798.23x = 2,694.92 × 933.15
  4. Step 4: Simplify right side
    1,798.23x = 2,514,759.93
  5. Step 5: Solve for x
    x = 2,514,759.93/1,798.23
  6. Step 6: Final answer
    x = 1,398.46

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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.