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Finding the Fourth Proportional to 2,891.70, 3,992.49 and 1,898.64

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Solution

The fourth proportional to 2,891.70, 3,992.49 and 1,898.64 is: 2,621.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.70 : 3,992.49 = 1,898.64 : x
  2. Step 2: Convert to fraction form
    2,891.70/3,992.49 = 1,898.64/x
  3. Step 3: Cross multiply
    2,891.70x = 3,992.49 × 1,898.64
  4. Step 4: Simplify right side
    2,891.70x = 7,580,301.21
  5. Step 5: Solve for x
    x = 7,580,301.21/2,891.70
  6. Step 6: Final answer
    x = 2,621.40

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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.