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Finding the Fourth Proportional to 3,111.12, 4,665.06 and 2,340

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Solution

The fourth proportional to 3,111.12, 4,665.06 and 2,340 is: 3,508.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.12 : 4,665.06 = 2,340 : x
  2. Step 2: Convert to fraction form
    3,111.12/4,665.06 = 2,340/x
  3. Step 3: Cross multiply
    3,111.12x = 4,665.06 × 2,340
  4. Step 4: Simplify right side
    3,111.12x = 10,916,240.40
  5. Step 5: Solve for x
    x = 10,916,240.40/3,111.12
  6. Step 6: Final answer
    x = 3,508.78

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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.