Home / 2,130.75-3,197.34-976.50

Finding the Fourth Proportional to 2,130.75, 3,197.34 and 976.50

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Solution

The fourth proportional to 2,130.75, 3,197.34 and 976.50 is: 1,465.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.75 : 3,197.34 = 976.50 : x
  2. Step 2: Convert to fraction form
    2,130.75/3,197.34 = 976.50/x
  3. Step 3: Cross multiply
    2,130.75x = 3,197.34 × 976.50
  4. Step 4: Simplify right side
    2,130.75x = 3,122,202.51
  5. Step 5: Solve for x
    x = 3,122,202.51/2,130.75
  6. Step 6: Final answer
    x = 1,465.31

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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.