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Finding the Fourth Proportional to 2,720.34, 4,071.24 and 2,106.77

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Solution

The fourth proportional to 2,720.34, 4,071.24 and 2,106.77 is: 3,152.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.34 : 4,071.24 = 2,106.77 : x
  2. Step 2: Convert to fraction form
    2,720.34/4,071.24 = 2,106.77/x
  3. Step 3: Cross multiply
    2,720.34x = 4,071.24 × 2,106.77
  4. Step 4: Simplify right side
    2,720.34x = 8,577,145.94
  5. Step 5: Solve for x
    x = 8,577,145.94/2,720.34
  6. Step 6: Final answer
    x = 3,152.97

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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.