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Finding the Fourth Proportional to 2,160.50, 3,240.78 and 621.50

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Solution

The fourth proportional to 2,160.50, 3,240.78 and 621.50 is: 932.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.50 : 3,240.78 = 621.50 : x
  2. Step 2: Convert to fraction form
    2,160.50/3,240.78 = 621.50/x
  3. Step 3: Cross multiply
    2,160.50x = 3,240.78 × 621.50
  4. Step 4: Simplify right side
    2,160.50x = 2,014,144.77
  5. Step 5: Solve for x
    x = 2,014,144.77/2,160.50
  6. Step 6: Final answer
    x = 932.26

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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.