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Finding the Fourth Proportional to 1,682.39, 2,320.72 and 1,093.32

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Solution

The fourth proportional to 1,682.39, 2,320.72 and 1,093.32 is: 1,508.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.39 : 2,320.72 = 1,093.32 : x
  2. Step 2: Convert to fraction form
    1,682.39/2,320.72 = 1,093.32/x
  3. Step 3: Cross multiply
    1,682.39x = 2,320.72 × 1,093.32
  4. Step 4: Simplify right side
    1,682.39x = 2,537,286.86
  5. Step 5: Solve for x
    x = 2,537,286.86/1,682.39
  6. Step 6: Final answer
    x = 1,508.14

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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.