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Finding the Fourth Proportional to 3,015.54, 4,526.06 and 2,097

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Solution

The fourth proportional to 3,015.54, 4,526.06 and 2,097 is: 3,147.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,015.54 : 4,526.06 = 2,097 : x
  2. Step 2: Convert to fraction form
    3,015.54/4,526.06 = 2,097/x
  3. Step 3: Cross multiply
    3,015.54x = 4,526.06 × 2,097
  4. Step 4: Simplify right side
    3,015.54x = 9,491,147.82
  5. Step 5: Solve for x
    x = 9,491,147.82/3,015.54
  6. Step 6: Final answer
    x = 3,147.41

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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.