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Finding the Fourth Proportional to 2,142.57, 3,212.37 and 1,047.81

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Solution

The fourth proportional to 2,142.57, 3,212.37 and 1,047.81 is: 1,570.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.57 : 3,212.37 = 1,047.81 : x
  2. Step 2: Convert to fraction form
    2,142.57/3,212.37 = 1,047.81/x
  3. Step 3: Cross multiply
    2,142.57x = 3,212.37 × 1,047.81
  4. Step 4: Simplify right side
    2,142.57x = 3,365,953.41
  5. Step 5: Solve for x
    x = 3,365,953.41/2,142.57
  6. Step 6: Final answer
    x = 1,570.99

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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.