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Finding the Fourth Proportional to 2,059.06, 3,088.60 and 520.06

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Solution

The fourth proportional to 2,059.06, 3,088.60 and 520.06 is: 780.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.06 : 3,088.60 = 520.06 : x
  2. Step 2: Convert to fraction form
    2,059.06/3,088.60 = 520.06/x
  3. Step 3: Cross multiply
    2,059.06x = 3,088.60 × 520.06
  4. Step 4: Simplify right side
    2,059.06x = 1,606,257.32
  5. Step 5: Solve for x
    x = 1,606,257.32/2,059.06
  6. Step 6: Final answer
    x = 780.09

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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.