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Finding the Fourth Proportional to 2,270.52, 3,406.08 and 2,210.37

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Solution

The fourth proportional to 2,270.52, 3,406.08 and 2,210.37 is: 3,315.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.52 : 3,406.08 = 2,210.37 : x
  2. Step 2: Convert to fraction form
    2,270.52/3,406.08 = 2,210.37/x
  3. Step 3: Cross multiply
    2,270.52x = 3,406.08 × 2,210.37
  4. Step 4: Simplify right side
    2,270.52x = 7,528,697.05
  5. Step 5: Solve for x
    x = 7,528,697.05/2,270.52
  6. Step 6: Final answer
    x = 3,315.85

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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.