Home / 2,430.25-3,645.06-786.63

Finding the Fourth Proportional to 2,430.25, 3,645.06 and 786.63

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Solution

The fourth proportional to 2,430.25, 3,645.06 and 786.63 is: 1,179.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.25 : 3,645.06 = 786.63 : x
  2. Step 2: Convert to fraction form
    2,430.25/3,645.06 = 786.63/x
  3. Step 3: Cross multiply
    2,430.25x = 3,645.06 × 786.63
  4. Step 4: Simplify right side
    2,430.25x = 2,867,313.55
  5. Step 5: Solve for x
    x = 2,867,313.55/2,430.25
  6. Step 6: Final answer
    x = 1,179.84

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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.