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Finding the Fourth Proportional to 3,160.21, 4,740.29 and 820.21

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Solution

The fourth proportional to 3,160.21, 4,740.29 and 820.21 is: 1,230.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.21 : 4,740.29 = 820.21 : x
  2. Step 2: Convert to fraction form
    3,160.21/4,740.29 = 820.21/x
  3. Step 3: Cross multiply
    3,160.21x = 4,740.29 × 820.21
  4. Step 4: Simplify right side
    3,160.21x = 3,888,009.56
  5. Step 5: Solve for x
    x = 3,888,009.56/3,160.21
  6. Step 6: Final answer
    x = 1,230.30

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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.