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Finding the Fourth Proportional to 2,094.85, 2,890.89 and 1,431.68

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Solution

The fourth proportional to 2,094.85, 2,890.89 and 1,431.68 is: 1,975.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.85 : 2,890.89 = 1,431.68 : x
  2. Step 2: Convert to fraction form
    2,094.85/2,890.89 = 1,431.68/x
  3. Step 3: Cross multiply
    2,094.85x = 2,890.89 × 1,431.68
  4. Step 4: Simplify right side
    2,094.85x = 4,138,836.62
  5. Step 5: Solve for x
    x = 4,138,836.62/2,094.85
  6. Step 6: Final answer
    x = 1,975.72

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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.