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Finding the Fourth Proportional to 2,068.94, 3,103.38 and 836.32

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Solution

The fourth proportional to 2,068.94, 3,103.38 and 836.32 is: 1,254.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.94 : 3,103.38 = 836.32 : x
  2. Step 2: Convert to fraction form
    2,068.94/3,103.38 = 836.32/x
  3. Step 3: Cross multiply
    2,068.94x = 3,103.38 × 836.32
  4. Step 4: Simplify right side
    2,068.94x = 2,595,418.76
  5. Step 5: Solve for x
    x = 2,595,418.76/2,068.94
  6. Step 6: Final answer
    x = 1,254.47

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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.