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Finding the Fourth Proportional to 2,804.58, 4,207.41 and 955.62

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Solution

The fourth proportional to 2,804.58, 4,207.41 and 955.62 is: 1,433.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.58 : 4,207.41 = 955.62 : x
  2. Step 2: Convert to fraction form
    2,804.58/4,207.41 = 955.62/x
  3. Step 3: Cross multiply
    2,804.58x = 4,207.41 × 955.62
  4. Step 4: Simplify right side
    2,804.58x = 4,020,685.14
  5. Step 5: Solve for x
    x = 4,020,685.14/2,804.58
  6. Step 6: Final answer
    x = 1,433.61

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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.