Home / 2,073.12-3,107.24-904.08

Finding the Fourth Proportional to 2,073.12, 3,107.24 and 904.08

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Solution

The fourth proportional to 2,073.12, 3,107.24 and 904.08 is: 1,355.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.12 : 3,107.24 = 904.08 : x
  2. Step 2: Convert to fraction form
    2,073.12/3,107.24 = 904.08/x
  3. Step 3: Cross multiply
    2,073.12x = 3,107.24 × 904.08
  4. Step 4: Simplify right side
    2,073.12x = 2,809,193.54
  5. Step 5: Solve for x
    x = 2,809,193.54/2,073.12
  6. Step 6: Final answer
    x = 1,355.06

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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.