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Finding the Fourth Proportional to 2,415.15, 3,623.01 and 854.83

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Solution

The fourth proportional to 2,415.15, 3,623.01 and 854.83 is: 1,282.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.15 : 3,623.01 = 854.83 : x
  2. Step 2: Convert to fraction form
    2,415.15/3,623.01 = 854.83/x
  3. Step 3: Cross multiply
    2,415.15x = 3,623.01 × 854.83
  4. Step 4: Simplify right side
    2,415.15x = 3,097,048.58
  5. Step 5: Solve for x
    x = 3,097,048.58/2,415.15
  6. Step 6: Final answer
    x = 1,282.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.