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Finding the Fourth Proportional to 3,295.70, 4,943.07 and 1,104.42

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Solution

The fourth proportional to 3,295.70, 4,943.07 and 1,104.42 is: 1,656.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,295.70 : 4,943.07 = 1,104.42 : x
  2. Step 2: Convert to fraction form
    3,295.70/4,943.07 = 1,104.42/x
  3. Step 3: Cross multiply
    3,295.70x = 4,943.07 × 1,104.42
  4. Step 4: Simplify right side
    3,295.70x = 5,459,225.37
  5. Step 5: Solve for x
    x = 5,459,225.37/3,295.70
  6. Step 6: Final answer
    x = 1,656.47

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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.