Home / 1,342.66-2,010.92-976.54

Finding the Fourth Proportional to 1,342.66, 2,010.92 and 976.54

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Solution

The fourth proportional to 1,342.66, 2,010.92 and 976.54 is: 1,462.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.66 : 2,010.92 = 976.54 : x
  2. Step 2: Convert to fraction form
    1,342.66/2,010.92 = 976.54/x
  3. Step 3: Cross multiply
    1,342.66x = 2,010.92 × 976.54
  4. Step 4: Simplify right side
    1,342.66x = 1,963,743.82
  5. Step 5: Solve for x
    x = 1,963,743.82/1,342.66
  6. Step 6: Final answer
    x = 1,462.58

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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.