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Finding the Fourth Proportional to 2,804.11, 4,206.80 and 930

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Solution

The fourth proportional to 2,804.11, 4,206.80 and 930 is: 1,395.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.11 : 4,206.80 = 930 : x
  2. Step 2: Convert to fraction form
    2,804.11/4,206.80 = 930/x
  3. Step 3: Cross multiply
    2,804.11x = 4,206.80 × 930
  4. Step 4: Simplify right side
    2,804.11x = 3,912,324
  5. Step 5: Solve for x
    x = 3,912,324/2,804.11
  6. Step 6: Final answer
    x = 1,395.21

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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.