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Finding the Fourth Proportional to 3,111.66, 4,668.99 and 1,941.39

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Solution

The fourth proportional to 3,111.66, 4,668.99 and 1,941.39 is: 2,913.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.66 : 4,668.99 = 1,941.39 : x
  2. Step 2: Convert to fraction form
    3,111.66/4,668.99 = 1,941.39/x
  3. Step 3: Cross multiply
    3,111.66x = 4,668.99 × 1,941.39
  4. Step 4: Simplify right side
    3,111.66x = 9,064,330.50
  5. Step 5: Solve for x
    x = 9,064,330.50/3,111.66
  6. Step 6: Final answer
    x = 2,913.02

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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.