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Finding the Fourth Proportional to 2,055.99, 3,084.36 and 739.77

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Solution

The fourth proportional to 2,055.99, 3,084.36 and 739.77 is: 1,109.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.99 : 3,084.36 = 739.77 : x
  2. Step 2: Convert to fraction form
    2,055.99/3,084.36 = 739.77/x
  3. Step 3: Cross multiply
    2,055.99x = 3,084.36 × 739.77
  4. Step 4: Simplify right side
    2,055.99x = 2,281,717.00
  5. Step 5: Solve for x
    x = 2,281,717.00/2,055.99
  6. Step 6: Final answer
    x = 1,109.79

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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.