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Finding the Fourth Proportional to 2,207.98, 3,311.10 and 802.07

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Solution

The fourth proportional to 2,207.98, 3,311.10 and 802.07 is: 1,202.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.98 : 3,311.10 = 802.07 : x
  2. Step 2: Convert to fraction form
    2,207.98/3,311.10 = 802.07/x
  3. Step 3: Cross multiply
    2,207.98x = 3,311.10 × 802.07
  4. Step 4: Simplify right side
    2,207.98x = 2,655,733.98
  5. Step 5: Solve for x
    x = 2,655,733.98/2,207.98
  6. Step 6: Final answer
    x = 1,202.79

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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.