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Finding the Fourth Proportional to 3,156.68, 4,734.84 and 848

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Solution

The fourth proportional to 3,156.68, 4,734.84 and 848 is: 1,271.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.68 : 4,734.84 = 848 : x
  2. Step 2: Convert to fraction form
    3,156.68/4,734.84 = 848/x
  3. Step 3: Cross multiply
    3,156.68x = 4,734.84 × 848
  4. Step 4: Simplify right side
    3,156.68x = 4,015,144.32
  5. Step 5: Solve for x
    x = 4,015,144.32/3,156.68
  6. Step 6: Final answer
    x = 1,271.95

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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.