Home / 2,506.25-3,758.70-946.15

Finding the Fourth Proportional to 2,506.25, 3,758.70 and 946.15

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Solution

The fourth proportional to 2,506.25, 3,758.70 and 946.15 is: 1,418.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.25 : 3,758.70 = 946.15 : x
  2. Step 2: Convert to fraction form
    2,506.25/3,758.70 = 946.15/x
  3. Step 3: Cross multiply
    2,506.25x = 3,758.70 × 946.15
  4. Step 4: Simplify right side
    2,506.25x = 3,556,294.01
  5. Step 5: Solve for x
    x = 3,556,294.01/2,506.25
  6. Step 6: Final answer
    x = 1,418.97

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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.