Home / 2,032.30-3,048.46-716.09

Finding the Fourth Proportional to 2,032.30, 3,048.46 and 716.09

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Solution

The fourth proportional to 2,032.30, 3,048.46 and 716.09 is: 1,074.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.30 : 3,048.46 = 716.09 : x
  2. Step 2: Convert to fraction form
    2,032.30/3,048.46 = 716.09/x
  3. Step 3: Cross multiply
    2,032.30x = 3,048.46 × 716.09
  4. Step 4: Simplify right side
    2,032.30x = 2,182,971.72
  5. Step 5: Solve for x
    x = 2,182,971.72/2,032.30
  6. Step 6: Final answer
    x = 1,074.14

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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.