Home / 1,496.14-2,242.77-946.96

Finding the Fourth Proportional to 1,496.14, 2,242.77 and 946.96

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Solution

The fourth proportional to 1,496.14, 2,242.77 and 946.96 is: 1,419.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.14 : 2,242.77 = 946.96 : x
  2. Step 2: Convert to fraction form
    1,496.14/2,242.77 = 946.96/x
  3. Step 3: Cross multiply
    1,496.14x = 2,242.77 × 946.96
  4. Step 4: Simplify right side
    1,496.14x = 2,123,813.48
  5. Step 5: Solve for x
    x = 2,123,813.48/1,496.14
  6. Step 6: Final answer
    x = 1,419.53

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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.