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Finding the Fourth Proportional to 2,415.90, 3,623.73 and 855.88

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Solution

The fourth proportional to 2,415.90, 3,623.73 and 855.88 is: 1,283.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.90 : 3,623.73 = 855.88 : x
  2. Step 2: Convert to fraction form
    2,415.90/3,623.73 = 855.88/x
  3. Step 3: Cross multiply
    2,415.90x = 3,623.73 × 855.88
  4. Step 4: Simplify right side
    2,415.90x = 3,101,462.05
  5. Step 5: Solve for x
    x = 3,101,462.05/2,415.90
  6. Step 6: Final answer
    x = 1,283.77

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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.