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Finding the Fourth Proportional to 2,111.36, 3,167.02 and 1,012.40

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Solution

The fourth proportional to 2,111.36, 3,167.02 and 1,012.40 is: 1,518.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.36 : 3,167.02 = 1,012.40 : x
  2. Step 2: Convert to fraction form
    2,111.36/3,167.02 = 1,012.40/x
  3. Step 3: Cross multiply
    2,111.36x = 3,167.02 × 1,012.40
  4. Step 4: Simplify right side
    2,111.36x = 3,206,291.05
  5. Step 5: Solve for x
    x = 3,206,291.05/2,111.36
  6. Step 6: Final answer
    x = 1,518.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.