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Finding the Fourth Proportional to 1,682.78, 2,322.03 and 1,019.54

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Solution

The fourth proportional to 1,682.78, 2,322.03 and 1,019.54 is: 1,406.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.78 : 2,322.03 = 1,019.54 : x
  2. Step 2: Convert to fraction form
    1,682.78/2,322.03 = 1,019.54/x
  3. Step 3: Cross multiply
    1,682.78x = 2,322.03 × 1,019.54
  4. Step 4: Simplify right side
    1,682.78x = 2,367,402.47
  5. Step 5: Solve for x
    x = 2,367,402.47/1,682.78
  6. Step 6: Final answer
    x = 1,406.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.