Home / 1,984.34-2,976.50-523.60

Finding the Fourth Proportional to 1,984.34, 2,976.50 and 523.60

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Solution

The fourth proportional to 1,984.34, 2,976.50 and 523.60 is: 785.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.34 : 2,976.50 = 523.60 : x
  2. Step 2: Convert to fraction form
    1,984.34/2,976.50 = 523.60/x
  3. Step 3: Cross multiply
    1,984.34x = 2,976.50 × 523.60
  4. Step 4: Simplify right side
    1,984.34x = 1,558,495.40
  5. Step 5: Solve for x
    x = 1,558,495.40/1,984.34
  6. Step 6: Final answer
    x = 785.40

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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.