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Finding the Fourth Proportional to 2,774.84, 3,836.12 and 2,658.67

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Solution

The fourth proportional to 2,774.84, 3,836.12 and 2,658.67 is: 3,675.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.84 : 3,836.12 = 2,658.67 : x
  2. Step 2: Convert to fraction form
    2,774.84/3,836.12 = 2,658.67/x
  3. Step 3: Cross multiply
    2,774.84x = 3,836.12 × 2,658.67
  4. Step 4: Simplify right side
    2,774.84x = 10,198,977.16
  5. Step 5: Solve for x
    x = 10,198,977.16/2,774.84
  6. Step 6: Final answer
    x = 3,675.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.