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Finding the Fourth Proportional to 3,215, 4,820.60 and 1,571.06

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Solution

The fourth proportional to 3,215, 4,820.60 and 1,571.06 is: 2,355.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215 : 4,820.60 = 1,571.06 : x
  2. Step 2: Convert to fraction form
    3,215/4,820.60 = 1,571.06/x
  3. Step 3: Cross multiply
    3,215x = 4,820.60 × 1,571.06
  4. Step 4: Simplify right side
    3,215x = 7,573,451.84
  5. Step 5: Solve for x
    x = 7,573,451.84/3,215
  6. Step 6: Final answer
    x = 2,355.66

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1.5x scale

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.