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Finding the Fourth Proportional to 2,100.31, 2,898.31 and 1,168.75

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Solution

The fourth proportional to 2,100.31, 2,898.31 and 1,168.75 is: 1,612.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.31 : 2,898.31 = 1,168.75 : x
  2. Step 2: Convert to fraction form
    2,100.31/2,898.31 = 1,168.75/x
  3. Step 3: Cross multiply
    2,100.31x = 2,898.31 × 1,168.75
  4. Step 4: Simplify right side
    2,100.31x = 3,387,399.81
  5. Step 5: Solve for x
    x = 3,387,399.81/2,100.31
  6. Step 6: Final answer
    x = 1,612.81

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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.