Home / 1,546.41-2,316.53-960.02

Finding the Fourth Proportional to 1,546.41, 2,316.53 and 960.02

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Solution

The fourth proportional to 1,546.41, 2,316.53 and 960.02 is: 1,438.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.41 : 2,316.53 = 960.02 : x
  2. Step 2: Convert to fraction form
    1,546.41/2,316.53 = 960.02/x
  3. Step 3: Cross multiply
    1,546.41x = 2,316.53 × 960.02
  4. Step 4: Simplify right side
    1,546.41x = 2,223,914.63
  5. Step 5: Solve for x
    x = 2,223,914.63/1,546.41
  6. Step 6: Final answer
    x = 1,438.12

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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.