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Finding the Fourth Proportional to 2,111.11, 2,913.74 and 1,392.03

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Solution

The fourth proportional to 2,111.11, 2,913.74 and 1,392.03 is: 1,921.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.11 : 2,913.74 = 1,392.03 : x
  2. Step 2: Convert to fraction form
    2,111.11/2,913.74 = 1,392.03/x
  3. Step 3: Cross multiply
    2,111.11x = 2,913.74 × 1,392.03
  4. Step 4: Simplify right side
    2,111.11x = 4,056,006.53
  5. Step 5: Solve for x
    x = 4,056,006.53/2,111.11
  6. Step 6: Final answer
    x = 1,921.27

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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.