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Finding the Fourth Proportional to 2,013.99, 3,020.26 and 697.38

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Solution

The fourth proportional to 2,013.99, 3,020.26 and 697.38 is: 1,045.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.99 : 3,020.26 = 697.38 : x
  2. Step 2: Convert to fraction form
    2,013.99/3,020.26 = 697.38/x
  3. Step 3: Cross multiply
    2,013.99x = 3,020.26 × 697.38
  4. Step 4: Simplify right side
    2,013.99x = 2,106,277.19
  5. Step 5: Solve for x
    x = 2,106,277.19/2,013.99
  6. Step 6: Final answer
    x = 1,045.82

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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.