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Finding the Fourth Proportional to 2,946.84, 4,420.17 and 755.64

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Solution

The fourth proportional to 2,946.84, 4,420.17 and 755.64 is: 1,133.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.84 : 4,420.17 = 755.64 : x
  2. Step 2: Convert to fraction form
    2,946.84/4,420.17 = 755.64/x
  3. Step 3: Cross multiply
    2,946.84x = 4,420.17 × 755.64
  4. Step 4: Simplify right side
    2,946.84x = 3,340,057.26
  5. Step 5: Solve for x
    x = 3,340,057.26/2,946.84
  6. Step 6: Final answer
    x = 1,133.44

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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.