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Finding the Fourth Proportional to 2,698.58, 3,723.91 and 1,814.24

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Solution

The fourth proportional to 2,698.58, 3,723.91 and 1,814.24 is: 2,503.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.58 : 3,723.91 = 1,814.24 : x
  2. Step 2: Convert to fraction form
    2,698.58/3,723.91 = 1,814.24/x
  3. Step 3: Cross multiply
    2,698.58x = 3,723.91 × 1,814.24
  4. Step 4: Simplify right side
    2,698.58x = 6,756,043.32
  5. Step 5: Solve for x
    x = 6,756,043.32/2,698.58
  6. Step 6: Final answer
    x = 2,503.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.