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Finding the Fourth Proportional to 3,043.64, 4,567.51 and 1,194.53

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Solution

The fourth proportional to 3,043.64, 4,567.51 and 1,194.53 is: 1,792.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.64 : 4,567.51 = 1,194.53 : x
  2. Step 2: Convert to fraction form
    3,043.64/4,567.51 = 1,194.53/x
  3. Step 3: Cross multiply
    3,043.64x = 4,567.51 × 1,194.53
  4. Step 4: Simplify right side
    3,043.64x = 5,456,027.72
  5. Step 5: Solve for x
    x = 5,456,027.72/3,043.64
  6. Step 6: Final answer
    x = 1,792.60

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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.