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Finding the Fourth Proportional to 3,132.63, 4,322.84 and 1,806.12

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Solution

The fourth proportional to 3,132.63, 4,322.84 and 1,806.12 is: 2,492.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.63 : 4,322.84 = 1,806.12 : x
  2. Step 2: Convert to fraction form
    3,132.63/4,322.84 = 1,806.12/x
  3. Step 3: Cross multiply
    3,132.63x = 4,322.84 × 1,806.12
  4. Step 4: Simplify right side
    3,132.63x = 7,807,558.75
  5. Step 5: Solve for x
    x = 7,807,558.75/3,132.63
  6. Step 6: Final answer
    x = 2,492.33

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