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Finding the Fourth Proportional to 2,446.52, 3,669.74 and 1,147.08

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Solution

The fourth proportional to 2,446.52, 3,669.74 and 1,147.08 is: 1,720.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.52 : 3,669.74 = 1,147.08 : x
  2. Step 2: Convert to fraction form
    2,446.52/3,669.74 = 1,147.08/x
  3. Step 3: Cross multiply
    2,446.52x = 3,669.74 × 1,147.08
  4. Step 4: Simplify right side
    2,446.52x = 4,209,485.36
  5. Step 5: Solve for x
    x = 4,209,485.36/2,446.52
  6. Step 6: Final answer
    x = 1,720.60

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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.