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Finding the Fourth Proportional to 2,445, 3,662.94 and 1,211

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Solution

The fourth proportional to 2,445, 3,662.94 and 1,211 is: 1,814.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,445 : 3,662.94 = 1,211 : x
  2. Step 2: Convert to fraction form
    2,445/3,662.94 = 1,211/x
  3. Step 3: Cross multiply
    2,445x = 3,662.94 × 1,211
  4. Step 4: Simplify right side
    2,445x = 4,435,820.34
  5. Step 5: Solve for x
    x = 4,435,820.34/2,445
  6. Step 6: Final answer
    x = 1,814.24

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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.