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Finding the Fourth Proportional to 2,099.31, 2,898.53 and 1,392.63

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Solution

The fourth proportional to 2,099.31, 2,898.53 and 1,392.63 is: 1,922.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.31 : 2,898.53 = 1,392.63 : x
  2. Step 2: Convert to fraction form
    2,099.31/2,898.53 = 1,392.63/x
  3. Step 3: Cross multiply
    2,099.31x = 2,898.53 × 1,392.63
  4. Step 4: Simplify right side
    2,099.31x = 4,036,574.74
  5. Step 5: Solve for x
    x = 4,036,574.74/2,099.31
  6. Step 6: Final answer
    x = 1,922.81

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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.