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Finding the Fourth Proportional to 2,096.40, 3,148.20 and 1,484.40

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Solution

The fourth proportional to 2,096.40, 3,148.20 and 1,484.40 is: 2,229.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.40 : 3,148.20 = 1,484.40 : x
  2. Step 2: Convert to fraction form
    2,096.40/3,148.20 = 1,484.40/x
  3. Step 3: Cross multiply
    2,096.40x = 3,148.20 × 1,484.40
  4. Step 4: Simplify right side
    2,096.40x = 4,673,188.08
  5. Step 5: Solve for x
    x = 4,673,188.08/2,096.40
  6. Step 6: Final answer
    x = 2,229.15

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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.