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Finding the Fourth Proportional to 2,881.42, 4,322.82 and 1,237.98

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Solution

The fourth proportional to 2,881.42, 4,322.82 and 1,237.98 is: 1,857.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.42 : 4,322.82 = 1,237.98 : x
  2. Step 2: Convert to fraction form
    2,881.42/4,322.82 = 1,237.98/x
  3. Step 3: Cross multiply
    2,881.42x = 4,322.82 × 1,237.98
  4. Step 4: Simplify right side
    2,881.42x = 5,351,578.59
  5. Step 5: Solve for x
    x = 5,351,578.59/2,881.42
  6. Step 6: Final answer
    x = 1,857.27

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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.