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Finding the Fourth Proportional to 2,068.92, 3,103.52 and 836.33

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Solution

The fourth proportional to 2,068.92, 3,103.52 and 836.33 is: 1,254.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.92 : 3,103.52 = 836.33 : x
  2. Step 2: Convert to fraction form
    2,068.92/3,103.52 = 836.33/x
  3. Step 3: Cross multiply
    2,068.92x = 3,103.52 × 836.33
  4. Step 4: Simplify right side
    2,068.92x = 2,595,547.18
  5. Step 5: Solve for x
    x = 2,595,547.18/2,068.92
  6. Step 6: Final answer
    x = 1,254.54

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