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Finding the Fourth Proportional to 2,746.50, 4,116 and 1,264.86

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Solution

The fourth proportional to 2,746.50, 4,116 and 1,264.86 is: 1,895.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.50 : 4,116 = 1,264.86 : x
  2. Step 2: Convert to fraction form
    2,746.50/4,116 = 1,264.86/x
  3. Step 3: Cross multiply
    2,746.50x = 4,116 × 1,264.86
  4. Step 4: Simplify right side
    2,746.50x = 5,206,163.76
  5. Step 5: Solve for x
    x = 5,206,163.76/2,746.50
  6. Step 6: Final answer
    x = 1,895.56

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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.