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Finding the Fourth Proportional to 1,904.22, 2,857.41 and 808.47

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Solution

The fourth proportional to 1,904.22, 2,857.41 and 808.47 is: 1,213.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.22 : 2,857.41 = 808.47 : x
  2. Step 2: Convert to fraction form
    1,904.22/2,857.41 = 808.47/x
  3. Step 3: Cross multiply
    1,904.22x = 2,857.41 × 808.47
  4. Step 4: Simplify right side
    1,904.22x = 2,310,130.26
  5. Step 5: Solve for x
    x = 2,310,130.26/1,904.22
  6. Step 6: Final answer
    x = 1,213.16

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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.