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Finding the Fourth Proportional to 3,203.74, 4,802.64 and 1,743.04

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Solution

The fourth proportional to 3,203.74, 4,802.64 and 1,743.04 is: 2,612.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.74 : 4,802.64 = 1,743.04 : x
  2. Step 2: Convert to fraction form
    3,203.74/4,802.64 = 1,743.04/x
  3. Step 3: Cross multiply
    3,203.74x = 4,802.64 × 1,743.04
  4. Step 4: Simplify right side
    3,203.74x = 8,371,193.63
  5. Step 5: Solve for x
    x = 8,371,193.63/3,203.74
  6. Step 6: Final answer
    x = 2,612.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.