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Finding the Fourth Proportional to 2,111.94, 3,166.38 and 1,000.74

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Solution

The fourth proportional to 2,111.94, 3,166.38 and 1,000.74 is: 1,500.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.94 : 3,166.38 = 1,000.74 : x
  2. Step 2: Convert to fraction form
    2,111.94/3,166.38 = 1,000.74/x
  3. Step 3: Cross multiply
    2,111.94x = 3,166.38 × 1,000.74
  4. Step 4: Simplify right side
    2,111.94x = 3,168,723.12
  5. Step 5: Solve for x
    x = 3,168,723.12/2,111.94
  6. Step 6: Final answer
    x = 1,500.39

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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.