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Finding the Fourth Proportional to 2,063.01, 3,094.97 and 657.50

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Solution

The fourth proportional to 2,063.01, 3,094.97 and 657.50 is: 986.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.01 : 3,094.97 = 657.50 : x
  2. Step 2: Convert to fraction form
    2,063.01/3,094.97 = 657.50/x
  3. Step 3: Cross multiply
    2,063.01x = 3,094.97 × 657.50
  4. Step 4: Simplify right side
    2,063.01x = 2,034,924.01
  5. Step 5: Solve for x
    x = 2,034,924.01/2,063.01
  6. Step 6: Final answer
    x = 986.39

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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.