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Finding the Fourth Proportional to 2,468.16, 3,698.16 and 1,234.32

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Solution

The fourth proportional to 2,468.16, 3,698.16 and 1,234.32 is: 1,849.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.16 : 3,698.16 = 1,234.32 : x
  2. Step 2: Convert to fraction form
    2,468.16/3,698.16 = 1,234.32/x
  3. Step 3: Cross multiply
    2,468.16x = 3,698.16 × 1,234.32
  4. Step 4: Simplify right side
    2,468.16x = 4,564,712.85
  5. Step 5: Solve for x
    x = 4,564,712.85/2,468.16
  6. Step 6: Final answer
    x = 1,849.44

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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.