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Finding the Fourth Proportional to 2,468.21, 3,698.21 and 1,736.25

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Solution

The fourth proportional to 2,468.21, 3,698.21 and 1,736.25 is: 2,601.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.21 : 3,698.21 = 1,736.25 : x
  2. Step 2: Convert to fraction form
    2,468.21/3,698.21 = 1,736.25/x
  3. Step 3: Cross multiply
    2,468.21x = 3,698.21 × 1,736.25
  4. Step 4: Simplify right side
    2,468.21x = 6,421,017.11
  5. Step 5: Solve for x
    x = 6,421,017.11/2,468.21
  6. Step 6: Final answer
    x = 2,601.49

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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.