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Finding the Fourth Proportional to 2,620.98, 3,931.02 and 977.09

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Solution

The fourth proportional to 2,620.98, 3,931.02 and 977.09 is: 1,465.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,620.98 : 3,931.02 = 977.09 : x
  2. Step 2: Convert to fraction form
    2,620.98/3,931.02 = 977.09/x
  3. Step 3: Cross multiply
    2,620.98x = 3,931.02 × 977.09
  4. Step 4: Simplify right side
    2,620.98x = 3,840,940.68
  5. Step 5: Solve for x
    x = 3,840,940.68/2,620.98
  6. Step 6: Final answer
    x = 1,465.46

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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.