Home / 2,735.52-4,102.82-1,004.16

Finding the Fourth Proportional to 2,735.52, 4,102.82 and 1,004.16

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Solution

The fourth proportional to 2,735.52, 4,102.82 and 1,004.16 is: 1,506.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.52 : 4,102.82 = 1,004.16 : x
  2. Step 2: Convert to fraction form
    2,735.52/4,102.82 = 1,004.16/x
  3. Step 3: Cross multiply
    2,735.52x = 4,102.82 × 1,004.16
  4. Step 4: Simplify right side
    2,735.52x = 4,119,887.73
  5. Step 5: Solve for x
    x = 4,119,887.73/2,735.52
  6. Step 6: Final answer
    x = 1,506.07

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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.