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Finding the Fourth Proportional to 2,621.50, 3,932.46 and 977.65

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Solution

The fourth proportional to 2,621.50, 3,932.46 and 977.65 is: 1,466.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,621.50 : 3,932.46 = 977.65 : x
  2. Step 2: Convert to fraction form
    2,621.50/3,932.46 = 977.65/x
  3. Step 3: Cross multiply
    2,621.50x = 3,932.46 × 977.65
  4. Step 4: Simplify right side
    2,621.50x = 3,844,569.52
  5. Step 5: Solve for x
    x = 3,844,569.52/2,621.50
  6. Step 6: Final answer
    x = 1,466.55

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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.