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Finding the Fourth Proportional to 2,288.47, 3,156.42 and 1,449.31

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Solution

The fourth proportional to 2,288.47, 3,156.42 and 1,449.31 is: 1,998.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.47 : 3,156.42 = 1,449.31 : x
  2. Step 2: Convert to fraction form
    2,288.47/3,156.42 = 1,449.31/x
  3. Step 3: Cross multiply
    2,288.47x = 3,156.42 × 1,449.31
  4. Step 4: Simplify right side
    2,288.47x = 4,574,631.07
  5. Step 5: Solve for x
    x = 4,574,631.07/2,288.47
  6. Step 6: Final answer
    x = 1,998.99

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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.