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Finding the Fourth Proportional to 2,720.42, 4,071.60 and 2,477.54

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Solution

The fourth proportional to 2,720.42, 4,071.60 and 2,477.54 is: 3,708.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.42 : 4,071.60 = 2,477.54 : x
  2. Step 2: Convert to fraction form
    2,720.42/4,071.60 = 2,477.54/x
  3. Step 3: Cross multiply
    2,720.42x = 4,071.60 × 2,477.54
  4. Step 4: Simplify right side
    2,720.42x = 10,087,551.86
  5. Step 5: Solve for x
    x = 10,087,551.86/2,720.42
  6. Step 6: Final answer
    x = 3,708.09

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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.