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Finding the Fourth Proportional to 3,111.44, 4,668.90 and 2,419.50

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Solution

The fourth proportional to 3,111.44, 4,668.90 and 2,419.50 is: 3,630.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.44 : 4,668.90 = 2,419.50 : x
  2. Step 2: Convert to fraction form
    3,111.44/4,668.90 = 2,419.50/x
  3. Step 3: Cross multiply
    3,111.44x = 4,668.90 × 2,419.50
  4. Step 4: Simplify right side
    3,111.44x = 11,296,403.55
  5. Step 5: Solve for x
    x = 11,296,403.55/3,111.44
  6. Step 6: Final answer
    x = 3,630.60

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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.