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Finding the Fourth Proportional to 2,142.60, 3,218.70 and 1,494.60

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Solution

The fourth proportional to 2,142.60, 3,218.70 and 1,494.60 is: 2,245.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.60 : 3,218.70 = 1,494.60 : x
  2. Step 2: Convert to fraction form
    2,142.60/3,218.70 = 1,494.60/x
  3. Step 3: Cross multiply
    2,142.60x = 3,218.70 × 1,494.60
  4. Step 4: Simplify right side
    2,142.60x = 4,810,669.02
  5. Step 5: Solve for x
    x = 4,810,669.02/2,142.60
  6. Step 6: Final answer
    x = 2,245.25

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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.