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Finding the Fourth Proportional to 2,369.40, 3,546.90 and 2,110.20

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Solution

The fourth proportional to 2,369.40, 3,546.90 and 2,110.20 is: 3,158.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.40 : 3,546.90 = 2,110.20 : x
  2. Step 2: Convert to fraction form
    2,369.40/3,546.90 = 2,110.20/x
  3. Step 3: Cross multiply
    2,369.40x = 3,546.90 × 2,110.20
  4. Step 4: Simplify right side
    2,369.40x = 7,484,668.38
  5. Step 5: Solve for x
    x = 7,484,668.38/2,369.40
  6. Step 6: Final answer
    x = 3,158.89

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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.