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Finding the Fourth Proportional to 1,682.57, 2,322.16 and 1,019.42

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Solution

The fourth proportional to 1,682.57, 2,322.16 and 1,019.42 is: 1,406.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.57 : 2,322.16 = 1,019.42 : x
  2. Step 2: Convert to fraction form
    1,682.57/2,322.16 = 1,019.42/x
  3. Step 3: Cross multiply
    1,682.57x = 2,322.16 × 1,019.42
  4. Step 4: Simplify right side
    1,682.57x = 2,367,259.26
  5. Step 5: Solve for x
    x = 2,367,259.26/1,682.57
  6. Step 6: Final answer
    x = 1,406.93

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Why These Related Problems?

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