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Finding the Fourth Proportional to 2,059.05, 3,089.07 and 598.22

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Solution

The fourth proportional to 2,059.05, 3,089.07 and 598.22 is: 897.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.05 : 3,089.07 = 598.22 : x
  2. Step 2: Convert to fraction form
    2,059.05/3,089.07 = 598.22/x
  3. Step 3: Cross multiply
    2,059.05x = 3,089.07 × 598.22
  4. Step 4: Simplify right side
    2,059.05x = 1,847,928.01
  5. Step 5: Solve for x
    x = 1,847,928.01/2,059.05
  6. Step 6: Final answer
    x = 897.47

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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.