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Finding the Fourth Proportional to 2,035.35, 3,050.96 and 802.27

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Solution

The fourth proportional to 2,035.35, 3,050.96 and 802.27 is: 1,202.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.35 : 3,050.96 = 802.27 : x
  2. Step 2: Convert to fraction form
    2,035.35/3,050.96 = 802.27/x
  3. Step 3: Cross multiply
    2,035.35x = 3,050.96 × 802.27
  4. Step 4: Simplify right side
    2,035.35x = 2,447,693.68
  5. Step 5: Solve for x
    x = 2,447,693.68/2,035.35
  6. Step 6: Final answer
    x = 1,202.59

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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.