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Finding the Fourth Proportional to 2,111.36, 2,912.07 and 1,615.64

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Solution

The fourth proportional to 2,111.36, 2,912.07 and 1,615.64 is: 2,228.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.36 : 2,912.07 = 1,615.64 : x
  2. Step 2: Convert to fraction form
    2,111.36/2,912.07 = 1,615.64/x
  3. Step 3: Cross multiply
    2,111.36x = 2,912.07 × 1,615.64
  4. Step 4: Simplify right side
    2,111.36x = 4,704,834.14
  5. Step 5: Solve for x
    x = 4,704,834.14/2,111.36
  6. Step 6: Final answer
    x = 2,228.35

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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.