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Finding the Fourth Proportional to 2,142.56, 2,956.62 and 1,211

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Solution

The fourth proportional to 2,142.56, 2,956.62 and 1,211 is: 1,671.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.56 : 2,956.62 = 1,211 : x
  2. Step 2: Convert to fraction form
    2,142.56/2,956.62 = 1,211/x
  3. Step 3: Cross multiply
    2,142.56x = 2,956.62 × 1,211
  4. Step 4: Simplify right side
    2,142.56x = 3,580,466.82
  5. Step 5: Solve for x
    x = 3,580,466.82/2,142.56
  6. Step 6: Final answer
    x = 1,671.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.