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Finding the Fourth Proportional to 2,911.70, 4,367.10 and 1,596.10

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Solution

The fourth proportional to 2,911.70, 4,367.10 and 1,596.10 is: 2,393.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.70 : 4,367.10 = 1,596.10 : x
  2. Step 2: Convert to fraction form
    2,911.70/4,367.10 = 1,596.10/x
  3. Step 3: Cross multiply
    2,911.70x = 4,367.10 × 1,596.10
  4. Step 4: Simplify right side
    2,911.70x = 6,970,349.17
  5. Step 5: Solve for x
    x = 6,970,349.17/2,911.70
  6. Step 6: Final answer
    x = 2,393.91

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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.