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Finding the Fourth Proportional to 2,774.84, 4,162.24 and 901

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Solution

The fourth proportional to 2,774.84, 4,162.24 and 901 is: 1,351.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.84 : 4,162.24 = 901 : x
  2. Step 2: Convert to fraction form
    2,774.84/4,162.24 = 901/x
  3. Step 3: Cross multiply
    2,774.84x = 4,162.24 × 901
  4. Step 4: Simplify right side
    2,774.84x = 3,750,178.24
  5. Step 5: Solve for x
    x = 3,750,178.24/2,774.84
  6. Step 6: Final answer
    x = 1,351.49

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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.