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Finding the Fourth Proportional to 1,879.65, 2,817.86 and 904.41

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Solution

The fourth proportional to 1,879.65, 2,817.86 and 904.41 is: 1,355.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,879.65 : 2,817.86 = 904.41 : x
  2. Step 2: Convert to fraction form
    1,879.65/2,817.86 = 904.41/x
  3. Step 3: Cross multiply
    1,879.65x = 2,817.86 × 904.41
  4. Step 4: Simplify right side
    1,879.65x = 2,548,496.24
  5. Step 5: Solve for x
    x = 2,548,496.24/1,879.65
  6. Step 6: Final answer
    x = 1,355.84

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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.