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Finding the Fourth Proportional to 2,846.92, 4,264.26 and 1,545.64

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Solution

The fourth proportional to 2,846.92, 4,264.26 and 1,545.64 is: 2,315.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.92 : 4,264.26 = 1,545.64 : x
  2. Step 2: Convert to fraction form
    2,846.92/4,264.26 = 1,545.64/x
  3. Step 3: Cross multiply
    2,846.92x = 4,264.26 × 1,545.64
  4. Step 4: Simplify right side
    2,846.92x = 6,591,010.83
  5. Step 5: Solve for x
    x = 6,591,010.83/2,846.92
  6. Step 6: Final answer
    x = 2,315.14

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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.