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Finding the Fourth Proportional to 2,946, 4,416.27 and 2,022

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Solution

The fourth proportional to 2,946, 4,416.27 and 2,022 is: 3,031.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946 : 4,416.27 = 2,022 : x
  2. Step 2: Convert to fraction form
    2,946/4,416.27 = 2,022/x
  3. Step 3: Cross multiply
    2,946x = 4,416.27 × 2,022
  4. Step 4: Simplify right side
    2,946x = 8,929,697.94
  5. Step 5: Solve for x
    x = 8,929,697.94/2,946
  6. Step 6: Final answer
    x = 3,031.13

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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.