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Finding the Fourth Proportional to 2,068.88, 3,102.10 and 836.33

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Solution

The fourth proportional to 2,068.88, 3,102.10 and 836.33 is: 1,254.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.88 : 3,102.10 = 836.33 : x
  2. Step 2: Convert to fraction form
    2,068.88/3,102.10 = 836.33/x
  3. Step 3: Cross multiply
    2,068.88x = 3,102.10 × 836.33
  4. Step 4: Simplify right side
    2,068.88x = 2,594,379.29
  5. Step 5: Solve for x
    x = 2,594,379.29/2,068.88
  6. Step 6: Final answer
    x = 1,254.00

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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.