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Finding the Fourth Proportional to 3,035.70, 4,189.23 and 1,709.39

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Solution

The fourth proportional to 3,035.70, 4,189.23 and 1,709.39 is: 2,358.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,035.70 : 4,189.23 = 1,709.39 : x
  2. Step 2: Convert to fraction form
    3,035.70/4,189.23 = 1,709.39/x
  3. Step 3: Cross multiply
    3,035.70x = 4,189.23 × 1,709.39
  4. Step 4: Simplify right side
    3,035.70x = 7,161,006.92
  5. Step 5: Solve for x
    x = 7,161,006.92/3,035.70
  6. Step 6: Final answer
    x = 2,358.93

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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.