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Finding the Fourth Proportional to 1,783.82, 2,691.43 and 1,722.47

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Solution

The fourth proportional to 1,783.82, 2,691.43 and 1,722.47 is: 2,598.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.82 : 2,691.43 = 1,722.47 : x
  2. Step 2: Convert to fraction form
    1,783.82/2,691.43 = 1,722.47/x
  3. Step 3: Cross multiply
    1,783.82x = 2,691.43 × 1,722.47
  4. Step 4: Simplify right side
    1,783.82x = 4,635,889.67
  5. Step 5: Solve for x
    x = 4,635,889.67/1,783.82
  6. Step 6: Final answer
    x = 2,598.85

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.