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Finding the Fourth Proportional to 2,749.94, 4,117.15 and 2,140.77

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Solution

The fourth proportional to 2,749.94, 4,117.15 and 2,140.77 is: 3,205.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.94 : 4,117.15 = 2,140.77 : x
  2. Step 2: Convert to fraction form
    2,749.94/4,117.15 = 2,140.77/x
  3. Step 3: Cross multiply
    2,749.94x = 4,117.15 × 2,140.77
  4. Step 4: Simplify right side
    2,749.94x = 8,813,860.50
  5. Step 5: Solve for x
    x = 8,813,860.50/2,749.94
  6. Step 6: Final answer
    x = 3,205.12

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Why These Related Problems?

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