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Finding the Fourth Proportional to 3,023.93, 4,535.39 and 802.79

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Solution

The fourth proportional to 3,023.93, 4,535.39 and 802.79 is: 1,204.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.93 : 4,535.39 = 802.79 : x
  2. Step 2: Convert to fraction form
    3,023.93/4,535.39 = 802.79/x
  3. Step 3: Cross multiply
    3,023.93x = 4,535.39 × 802.79
  4. Step 4: Simplify right side
    3,023.93x = 3,640,961.72
  5. Step 5: Solve for x
    x = 3,640,961.72/3,023.93
  6. Step 6: Final answer
    x = 1,204.05

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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.