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Finding the Fourth Proportional to 3,411, 4,707.11 and 1,898.54

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Solution

The fourth proportional to 3,411, 4,707.11 and 1,898.54 is: 2,619.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411 : 4,707.11 = 1,898.54 : x
  2. Step 2: Convert to fraction form
    3,411/4,707.11 = 1,898.54/x
  3. Step 3: Cross multiply
    3,411x = 4,707.11 × 1,898.54
  4. Step 4: Simplify right side
    3,411x = 8,936,636.62
  5. Step 5: Solve for x
    x = 8,936,636.62/3,411
  6. Step 6: Final answer
    x = 2,619.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.