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Finding the Fourth Proportional to 2,137.02, 3,204.33 and 802.26

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Solution

The fourth proportional to 2,137.02, 3,204.33 and 802.26 is: 1,202.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.02 : 3,204.33 = 802.26 : x
  2. Step 2: Convert to fraction form
    2,137.02/3,204.33 = 802.26/x
  3. Step 3: Cross multiply
    2,137.02x = 3,204.33 × 802.26
  4. Step 4: Simplify right side
    2,137.02x = 2,570,705.79
  5. Step 5: Solve for x
    x = 2,570,705.79/2,137.02
  6. Step 6: Final answer
    x = 1,202.94

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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.