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Finding the Fourth Proportional to 2,283.30, 3,424.14 and 2,101.05

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Solution

The fourth proportional to 2,283.30, 3,424.14 and 2,101.05 is: 3,150.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.30 : 3,424.14 = 2,101.05 : x
  2. Step 2: Convert to fraction form
    2,283.30/3,424.14 = 2,101.05/x
  3. Step 3: Cross multiply
    2,283.30x = 3,424.14 × 2,101.05
  4. Step 4: Simplify right side
    2,283.30x = 7,194,289.35
  5. Step 5: Solve for x
    x = 7,194,289.35/2,283.30
  6. Step 6: Final answer
    x = 3,150.83

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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.