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Finding the Fourth Proportional to 2,414.85, 3,333.32 and 1,420.42

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Solution

The fourth proportional to 2,414.85, 3,333.32 and 1,420.42 is: 1,960.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.85 : 3,333.32 = 1,420.42 : x
  2. Step 2: Convert to fraction form
    2,414.85/3,333.32 = 1,420.42/x
  3. Step 3: Cross multiply
    2,414.85x = 3,333.32 × 1,420.42
  4. Step 4: Simplify right side
    2,414.85x = 4,734,714.39
  5. Step 5: Solve for x
    x = 4,734,714.39/2,414.85
  6. Step 6: Final answer
    x = 1,960.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.