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Finding the Fourth Proportional to 4,174.30, 6,260.82 and 1,400.50

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Solution

The fourth proportional to 4,174.30, 6,260.82 and 1,400.50 is: 2,100.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.30 : 6,260.82 = 1,400.50 : x
  2. Step 2: Convert to fraction form
    4,174.30/6,260.82 = 1,400.50/x
  3. Step 3: Cross multiply
    4,174.30x = 6,260.82 × 1,400.50
  4. Step 4: Simplify right side
    4,174.30x = 8,768,278.41
  5. Step 5: Solve for x
    x = 8,768,278.41/4,174.30
  6. Step 6: Final answer
    x = 2,100.54

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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.