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Finding the Fourth Proportional to 2,620.91, 3,929.54 and 977.01

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Solution

The fourth proportional to 2,620.91, 3,929.54 and 977.01 is: 1,464.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,620.91 : 3,929.54 = 977.01 : x
  2. Step 2: Convert to fraction form
    2,620.91/3,929.54 = 977.01/x
  3. Step 3: Cross multiply
    2,620.91x = 3,929.54 × 977.01
  4. Step 4: Simplify right side
    2,620.91x = 3,839,194.99
  5. Step 5: Solve for x
    x = 3,839,194.99/2,620.91
  6. Step 6: Final answer
    x = 1,464.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.