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Finding the Fourth Proportional to 2,804.83, 4,206.33 and 955.90

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Solution

The fourth proportional to 2,804.83, 4,206.33 and 955.90 is: 1,433.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.83 : 4,206.33 = 955.90 : x
  2. Step 2: Convert to fraction form
    2,804.83/4,206.33 = 955.90/x
  3. Step 3: Cross multiply
    2,804.83x = 4,206.33 × 955.90
  4. Step 4: Simplify right side
    2,804.83x = 4,020,836.10
  5. Step 5: Solve for x
    x = 4,020,836.10/2,804.83
  6. Step 6: Final answer
    x = 1,433.54

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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.