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Finding the Fourth Proportional to 2,140.92, 2,960.10 and 1,894.68

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Solution

The fourth proportional to 2,140.92, 2,960.10 and 1,894.68 is: 2,619.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.92 : 2,960.10 = 1,894.68 : x
  2. Step 2: Convert to fraction form
    2,140.92/2,960.10 = 1,894.68/x
  3. Step 3: Cross multiply
    2,140.92x = 2,960.10 × 1,894.68
  4. Step 4: Simplify right side
    2,140.92x = 5,608,442.27
  5. Step 5: Solve for x
    x = 5,608,442.27/2,140.92
  6. Step 6: Final answer
    x = 2,619.64

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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.