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Finding the Fourth Proportional to 2,040.99, 3,059.21 and 807.47

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Solution

The fourth proportional to 2,040.99, 3,059.21 and 807.47 is: 1,210.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040.99 : 3,059.21 = 807.47 : x
  2. Step 2: Convert to fraction form
    2,040.99/3,059.21 = 807.47/x
  3. Step 3: Cross multiply
    2,040.99x = 3,059.21 × 807.47
  4. Step 4: Simplify right side
    2,040.99x = 2,470,205.00
  5. Step 5: Solve for x
    x = 2,470,205.00/2,040.99
  6. Step 6: Final answer
    x = 1,210.30

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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.