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Finding the Fourth Proportional to 2,068.63, 3,101.73 and 836.08

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Solution

The fourth proportional to 2,068.63, 3,101.73 and 836.08 is: 1,253.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.63 : 3,101.73 = 836.08 : x
  2. Step 2: Convert to fraction form
    2,068.63/3,101.73 = 836.08/x
  3. Step 3: Cross multiply
    2,068.63x = 3,101.73 × 836.08
  4. Step 4: Simplify right side
    2,068.63x = 2,593,294.42
  5. Step 5: Solve for x
    x = 2,593,294.42/2,068.63
  6. Step 6: Final answer
    x = 1,253.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.