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Finding the Fourth Proportional to 2,882.96, 4,323.90 and 802.52

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Solution

The fourth proportional to 2,882.96, 4,323.90 and 802.52 is: 1,203.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.96 : 4,323.90 = 802.52 : x
  2. Step 2: Convert to fraction form
    2,882.96/4,323.90 = 802.52/x
  3. Step 3: Cross multiply
    2,882.96x = 4,323.90 × 802.52
  4. Step 4: Simplify right side
    2,882.96x = 3,470,016.23
  5. Step 5: Solve for x
    x = 3,470,016.23/2,882.96
  6. Step 6: Final answer
    x = 1,203.63

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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.