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Finding the Fourth Proportional to 2,415.33, 3,623.03 and 683.95

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Solution

The fourth proportional to 2,415.33, 3,623.03 and 683.95 is: 1,025.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.33 : 3,623.03 = 683.95 : x
  2. Step 2: Convert to fraction form
    2,415.33/3,623.03 = 683.95/x
  3. Step 3: Cross multiply
    2,415.33x = 3,623.03 × 683.95
  4. Step 4: Simplify right side
    2,415.33x = 2,477,971.37
  5. Step 5: Solve for x
    x = 2,477,971.37/2,415.33
  6. Step 6: Final answer
    x = 1,025.93

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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.