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Finding the Fourth Proportional to 2,802.53, 4,203.80 and 1,321.41

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Solution

The fourth proportional to 2,802.53, 4,203.80 and 1,321.41 is: 1,982.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.53 : 4,203.80 = 1,321.41 : x
  2. Step 2: Convert to fraction form
    2,802.53/4,203.80 = 1,321.41/x
  3. Step 3: Cross multiply
    2,802.53x = 4,203.80 × 1,321.41
  4. Step 4: Simplify right side
    2,802.53x = 5,554,939.74
  5. Step 5: Solve for x
    x = 5,554,939.74/2,802.53
  6. Step 6: Final answer
    x = 1,982.11

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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.