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Finding the Fourth Proportional to 2,014.99, 3,021.76 and 698.39

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Solution

The fourth proportional to 2,014.99, 3,021.76 and 698.39 is: 1,047.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.99 : 3,021.76 = 698.39 : x
  2. Step 2: Convert to fraction form
    2,014.99/3,021.76 = 698.39/x
  3. Step 3: Cross multiply
    2,014.99x = 3,021.76 × 698.39
  4. Step 4: Simplify right side
    2,014.99x = 2,110,348.37
  5. Step 5: Solve for x
    x = 2,110,348.37/2,014.99
  6. Step 6: Final answer
    x = 1,047.32

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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.