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Finding the Fourth Proportional to 3,303.70, 4,959.60 and 1,824.10

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Solution

The fourth proportional to 3,303.70, 4,959.60 and 1,824.10 is: 2,738.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,303.70 : 4,959.60 = 1,824.10 : x
  2. Step 2: Convert to fraction form
    3,303.70/4,959.60 = 1,824.10/x
  3. Step 3: Cross multiply
    3,303.70x = 4,959.60 × 1,824.10
  4. Step 4: Simplify right side
    3,303.70x = 9,046,806.36
  5. Step 5: Solve for x
    x = 9,046,806.36/3,303.70
  6. Step 6: Final answer
    x = 2,738.39

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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.