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Finding the Fourth Proportional to 2,140.69, 3,211.01 and 1,100.98

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Solution

The fourth proportional to 2,140.69, 3,211.01 and 1,100.98 is: 1,651.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.69 : 3,211.01 = 1,100.98 : x
  2. Step 2: Convert to fraction form
    2,140.69/3,211.01 = 1,100.98/x
  3. Step 3: Cross multiply
    2,140.69x = 3,211.01 × 1,100.98
  4. Step 4: Simplify right side
    2,140.69x = 3,535,253.55
  5. Step 5: Solve for x
    x = 3,535,253.55/2,140.69
  6. Step 6: Final answer
    x = 1,651.46

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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.