Home / 2,407.20-3,609.60-946.08

Finding the Fourth Proportional to 2,407.20, 3,609.60 and 946.08

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Solution

The fourth proportional to 2,407.20, 3,609.60 and 946.08 is: 1,418.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.20 : 3,609.60 = 946.08 : x
  2. Step 2: Convert to fraction form
    2,407.20/3,609.60 = 946.08/x
  3. Step 3: Cross multiply
    2,407.20x = 3,609.60 × 946.08
  4. Step 4: Simplify right side
    2,407.20x = 3,414,970.37
  5. Step 5: Solve for x
    x = 3,414,970.37/2,407.20
  6. Step 6: Final answer
    x = 1,418.65

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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.