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Finding the Fourth Proportional to 2,322.41, 3,483.21 and 762.37

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Solution

The fourth proportional to 2,322.41, 3,483.21 and 762.37 is: 1,143.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.41 : 3,483.21 = 762.37 : x
  2. Step 2: Convert to fraction form
    2,322.41/3,483.21 = 762.37/x
  3. Step 3: Cross multiply
    2,322.41x = 3,483.21 × 762.37
  4. Step 4: Simplify right side
    2,322.41x = 2,655,486.10
  5. Step 5: Solve for x
    x = 2,655,486.10/2,322.41
  6. Step 6: Final answer
    x = 1,143.42

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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.