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Finding the Fourth Proportional to 2,095.99, 2,891.03 and 1,431.79

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Solution

The fourth proportional to 2,095.99, 2,891.03 and 1,431.79 is: 1,974.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.99 : 2,891.03 = 1,431.79 : x
  2. Step 2: Convert to fraction form
    2,095.99/2,891.03 = 1,431.79/x
  3. Step 3: Cross multiply
    2,095.99x = 2,891.03 × 1,431.79
  4. Step 4: Simplify right side
    2,095.99x = 4,139,333.46
  5. Step 5: Solve for x
    x = 4,139,333.46/2,095.99
  6. Step 6: Final answer
    x = 1,974.88

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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.