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Finding the Fourth Proportional to 1,204.51, 1,807.80 and 1,195.42

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Solution

The fourth proportional to 1,204.51, 1,807.80 and 1,195.42 is: 1,794.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.51 : 1,807.80 = 1,195.42 : x
  2. Step 2: Convert to fraction form
    1,204.51/1,807.80 = 1,195.42/x
  3. Step 3: Cross multiply
    1,204.51x = 1,807.80 × 1,195.42
  4. Step 4: Simplify right side
    1,204.51x = 2,161,080.28
  5. Step 5: Solve for x
    x = 2,161,080.28/1,204.51
  6. Step 6: Final answer
    x = 1,794.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.