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Finding the Fourth Proportional to 3,046, 4,203.67 and 1,719.22

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Solution

The fourth proportional to 3,046, 4,203.67 and 1,719.22 is: 2,372.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046 : 4,203.67 = 1,719.22 : x
  2. Step 2: Convert to fraction form
    3,046/4,203.67 = 1,719.22/x
  3. Step 3: Cross multiply
    3,046x = 4,203.67 × 1,719.22
  4. Step 4: Simplify right side
    3,046x = 7,227,033.54
  5. Step 5: Solve for x
    x = 7,227,033.54/3,046
  6. Step 6: Final answer
    x = 2,372.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.