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Finding the Fourth Proportional to 2,059.80, 3,088.98 and 598.56

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Solution

The fourth proportional to 2,059.80, 3,088.98 and 598.56 is: 897.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.80 : 3,088.98 = 598.56 : x
  2. Step 2: Convert to fraction form
    2,059.80/3,088.98 = 598.56/x
  3. Step 3: Cross multiply
    2,059.80x = 3,088.98 × 598.56
  4. Step 4: Simplify right side
    2,059.80x = 1,848,939.87
  5. Step 5: Solve for x
    x = 1,848,939.87/2,059.80
  6. Step 6: Final answer
    x = 897.63

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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.