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Finding the Fourth Proportional to 2,461.42, 3,400 and 1,824.65

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Solution

The fourth proportional to 2,461.42, 3,400 and 1,824.65 is: 2,520.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.42 : 3,400 = 1,824.65 : x
  2. Step 2: Convert to fraction form
    2,461.42/3,400 = 1,824.65/x
  3. Step 3: Cross multiply
    2,461.42x = 3,400 × 1,824.65
  4. Step 4: Simplify right side
    2,461.42x = 6,203,810
  5. Step 5: Solve for x
    x = 6,203,810/2,461.42
  6. Step 6: Final answer
    x = 2,520.42

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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.