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Finding the Fourth Proportional to 2,477.20, 3,708.60 and 2,189.20

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Solution

The fourth proportional to 2,477.20, 3,708.60 and 2,189.20 is: 3,277.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.20 : 3,708.60 = 2,189.20 : x
  2. Step 2: Convert to fraction form
    2,477.20/3,708.60 = 2,189.20/x
  3. Step 3: Cross multiply
    2,477.20x = 3,708.60 × 2,189.20
  4. Step 4: Simplify right side
    2,477.20x = 8,118,867.12
  5. Step 5: Solve for x
    x = 8,118,867.12/2,477.20
  6. Step 6: Final answer
    x = 3,277.44

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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.