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Finding the Fourth Proportional to 2,982.29, 4,474.14 and 902.16

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Solution

The fourth proportional to 2,982.29, 4,474.14 and 902.16 is: 1,353.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.29 : 4,474.14 = 902.16 : x
  2. Step 2: Convert to fraction form
    2,982.29/4,474.14 = 902.16/x
  3. Step 3: Cross multiply
    2,982.29x = 4,474.14 × 902.16
  4. Step 4: Simplify right side
    2,982.29x = 4,036,390.14
  5. Step 5: Solve for x
    x = 4,036,390.14/2,982.29
  6. Step 6: Final answer
    x = 1,353.45

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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.