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Finding the Fourth Proportional to 2,520.34, 3,478.01 and 1,401.23

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Solution

The fourth proportional to 2,520.34, 3,478.01 and 1,401.23 is: 1,933.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520.34 : 3,478.01 = 1,401.23 : x
  2. Step 2: Convert to fraction form
    2,520.34/3,478.01 = 1,401.23/x
  3. Step 3: Cross multiply
    2,520.34x = 3,478.01 × 1,401.23
  4. Step 4: Simplify right side
    2,520.34x = 4,873,493.64
  5. Step 5: Solve for x
    x = 4,873,493.64/2,520.34
  6. Step 6: Final answer
    x = 1,933.67

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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.