Home / 2,588.60-3,882.96-946.37

Finding the Fourth Proportional to 2,588.60, 3,882.96 and 946.37

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Solution

The fourth proportional to 2,588.60, 3,882.96 and 946.37 is: 1,419.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.60 : 3,882.96 = 946.37 : x
  2. Step 2: Convert to fraction form
    2,588.60/3,882.96 = 946.37/x
  3. Step 3: Cross multiply
    2,588.60x = 3,882.96 × 946.37
  4. Step 4: Simplify right side
    2,588.60x = 3,674,697.44
  5. Step 5: Solve for x
    x = 3,674,697.44/2,588.60
  6. Step 6: Final answer
    x = 1,419.57

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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.