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Finding the Fourth Proportional to 2,048.99, 3,074.72 and 816.98

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Solution

The fourth proportional to 2,048.99, 3,074.72 and 816.98 is: 1,225.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.99 : 3,074.72 = 816.98 : x
  2. Step 2: Convert to fraction form
    2,048.99/3,074.72 = 816.98/x
  3. Step 3: Cross multiply
    2,048.99x = 3,074.72 × 816.98
  4. Step 4: Simplify right side
    2,048.99x = 2,511,965.29
  5. Step 5: Solve for x
    x = 2,511,965.29/2,048.99
  6. Step 6: Final answer
    x = 1,225.96

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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.