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Finding the Fourth Proportional to 2,615.08, 3,923.36 and 883.84

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Solution

The fourth proportional to 2,615.08, 3,923.36 and 883.84 is: 1,326.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,615.08 : 3,923.36 = 883.84 : x
  2. Step 2: Convert to fraction form
    2,615.08/3,923.36 = 883.84/x
  3. Step 3: Cross multiply
    2,615.08x = 3,923.36 × 883.84
  4. Step 4: Simplify right side
    2,615.08x = 3,467,622.50
  5. Step 5: Solve for x
    x = 3,467,622.50/2,615.08
  6. Step 6: Final answer
    x = 1,326.01

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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.