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Finding the Fourth Proportional to 1,904.86, 2,857.11 and 672.21

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Solution

The fourth proportional to 1,904.86, 2,857.11 and 672.21 is: 1,008.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.86 : 2,857.11 = 672.21 : x
  2. Step 2: Convert to fraction form
    1,904.86/2,857.11 = 672.21/x
  3. Step 3: Cross multiply
    1,904.86x = 2,857.11 × 672.21
  4. Step 4: Simplify right side
    1,904.86x = 1,920,577.91
  5. Step 5: Solve for x
    x = 1,920,577.91/1,904.86
  6. Step 6: Final answer
    x = 1,008.25

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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.