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Finding the Fourth Proportional to 2,468.44, 3,702.86 and 824.98

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Solution

The fourth proportional to 2,468.44, 3,702.86 and 824.98 is: 1,237.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.44 : 3,702.86 = 824.98 : x
  2. Step 2: Convert to fraction form
    2,468.44/3,702.86 = 824.98/x
  3. Step 3: Cross multiply
    2,468.44x = 3,702.86 × 824.98
  4. Step 4: Simplify right side
    2,468.44x = 3,054,785.44
  5. Step 5: Solve for x
    x = 3,054,785.44/2,468.44
  6. Step 6: Final answer
    x = 1,237.54

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1.5x scale

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.