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Finding the Fourth Proportional to 2,946.63, 4,419.98 and 755.58

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Solution

The fourth proportional to 2,946.63, 4,419.98 and 755.58 is: 1,133.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.63 : 4,419.98 = 755.58 : x
  2. Step 2: Convert to fraction form
    2,946.63/4,419.98 = 755.58/x
  3. Step 3: Cross multiply
    2,946.63x = 4,419.98 × 755.58
  4. Step 4: Simplify right side
    2,946.63x = 3,339,648.49
  5. Step 5: Solve for x
    x = 3,339,648.49/2,946.63
  6. Step 6: Final answer
    x = 1,133.38

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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.