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Finding the Fourth Proportional to 1,808.17, 2,713.58 and 768.47

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Solution

The fourth proportional to 1,808.17, 2,713.58 and 768.47 is: 1,153.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808.17 : 2,713.58 = 768.47 : x
  2. Step 2: Convert to fraction form
    1,808.17/2,713.58 = 768.47/x
  3. Step 3: Cross multiply
    1,808.17x = 2,713.58 × 768.47
  4. Step 4: Simplify right side
    1,808.17x = 2,085,293.18
  5. Step 5: Solve for x
    x = 2,085,293.18/1,808.17
  6. Step 6: Final answer
    x = 1,153.26

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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.