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Finding the Fourth Proportional to 4,070.82, 6,101.96 and 1,880.99

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Solution

The fourth proportional to 4,070.82, 6,101.96 and 1,880.99 is: 2,819.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,070.82 : 6,101.96 = 1,880.99 : x
  2. Step 2: Convert to fraction form
    4,070.82/6,101.96 = 1,880.99/x
  3. Step 3: Cross multiply
    4,070.82x = 6,101.96 × 1,880.99
  4. Step 4: Simplify right side
    4,070.82x = 11,477,685.83
  5. Step 5: Solve for x
    x = 11,477,685.83/4,070.82
  6. Step 6: Final answer
    x = 2,819.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.