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Finding the Fourth Proportional to 3,301.04, 4,951.57 and 802.22

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Solution

The fourth proportional to 3,301.04, 4,951.57 and 802.22 is: 1,203.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.04 : 4,951.57 = 802.22 : x
  2. Step 2: Convert to fraction form
    3,301.04/4,951.57 = 802.22/x
  3. Step 3: Cross multiply
    3,301.04x = 4,951.57 × 802.22
  4. Step 4: Simplify right side
    3,301.04x = 3,972,221.72
  5. Step 5: Solve for x
    x = 3,972,221.72/3,301.04
  6. Step 6: Final answer
    x = 1,203.32

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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.