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Finding the Fourth Proportional to 2,068.98, 3,104.46 and 836.40

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Solution

The fourth proportional to 2,068.98, 3,104.46 and 836.40 is: 1,255.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.98 : 3,104.46 = 836.40 : x
  2. Step 2: Convert to fraction form
    2,068.98/3,104.46 = 836.40/x
  3. Step 3: Cross multiply
    2,068.98x = 3,104.46 × 836.40
  4. Step 4: Simplify right side
    2,068.98x = 2,596,570.34
  5. Step 5: Solve for x
    x = 2,596,570.34/2,068.98
  6. Step 6: Final answer
    x = 1,255.00

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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.