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Finding the Fourth Proportional to 2,013.38, 3,020.18 and 697.20

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Solution

The fourth proportional to 2,013.38, 3,020.18 and 697.20 is: 1,045.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.38 : 3,020.18 = 697.20 : x
  2. Step 2: Convert to fraction form
    2,013.38/3,020.18 = 697.20/x
  3. Step 3: Cross multiply
    2,013.38x = 3,020.18 × 697.20
  4. Step 4: Simplify right side
    2,013.38x = 2,105,666.01
  5. Step 5: Solve for x
    x = 2,105,666.01/2,013.38
  6. Step 6: Final answer
    x = 1,045.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.