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Finding the Fourth Proportional to 1,652.45, 2,478.05 and 541.61

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Solution

The fourth proportional to 1,652.45, 2,478.05 and 541.61 is: 812.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.45 : 2,478.05 = 541.61 : x
  2. Step 2: Convert to fraction form
    1,652.45/2,478.05 = 541.61/x
  3. Step 3: Cross multiply
    1,652.45x = 2,478.05 × 541.61
  4. Step 4: Simplify right side
    1,652.45x = 1,342,121.56
  5. Step 5: Solve for x
    x = 1,342,121.56/1,652.45
  6. Step 6: Final answer
    x = 812.20

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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.