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Finding the Fourth Proportional to 4,419.50, 6,630.06 and 2,111

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Solution

The fourth proportional to 4,419.50, 6,630.06 and 2,111 is: 3,166.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,419.50 : 6,630.06 = 2,111 : x
  2. Step 2: Convert to fraction form
    4,419.50/6,630.06 = 2,111/x
  3. Step 3: Cross multiply
    4,419.50x = 6,630.06 × 2,111
  4. Step 4: Simplify right side
    4,419.50x = 13,996,056.66
  5. Step 5: Solve for x
    x = 13,996,056.66/4,419.50
  6. Step 6: Final answer
    x = 3,166.89

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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.