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Finding the Fourth Proportional to 2,466.94, 3,700.41 and 1,235.86

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Solution

The fourth proportional to 2,466.94, 3,700.41 and 1,235.86 is: 1,853.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.94 : 3,700.41 = 1,235.86 : x
  2. Step 2: Convert to fraction form
    2,466.94/3,700.41 = 1,235.86/x
  3. Step 3: Cross multiply
    2,466.94x = 3,700.41 × 1,235.86
  4. Step 4: Simplify right side
    2,466.94x = 4,573,188.70
  5. Step 5: Solve for x
    x = 4,573,188.70/2,466.94
  6. Step 6: Final answer
    x = 1,853.79

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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.