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Finding the Fourth Proportional to 2,148.40, 3,223.04 and 1,224.40

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Solution

The fourth proportional to 2,148.40, 3,223.04 and 1,224.40 is: 1,836.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.40 : 3,223.04 = 1,224.40 : x
  2. Step 2: Convert to fraction form
    2,148.40/3,223.04 = 1,224.40/x
  3. Step 3: Cross multiply
    2,148.40x = 3,223.04 × 1,224.40
  4. Step 4: Simplify right side
    2,148.40x = 3,946,290.18
  5. Step 5: Solve for x
    x = 3,946,290.18/2,148.40
  6. Step 6: Final answer
    x = 1,836.85

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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.