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Finding the Fourth Proportional to 2,274.54, 3,411.46 and 630.91

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Solution

The fourth proportional to 2,274.54, 3,411.46 and 630.91 is: 946.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.54 : 3,411.46 = 630.91 : x
  2. Step 2: Convert to fraction form
    2,274.54/3,411.46 = 630.91/x
  3. Step 3: Cross multiply
    2,274.54x = 3,411.46 × 630.91
  4. Step 4: Simplify right side
    2,274.54x = 2,152,324.23
  5. Step 5: Solve for x
    x = 2,152,324.23/2,274.54
  6. Step 6: Final answer
    x = 946.27

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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.