Home / 1,762.15-2,431.84-976.27

Finding the Fourth Proportional to 1,762.15, 2,431.84 and 976.27

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Solution

The fourth proportional to 1,762.15, 2,431.84 and 976.27 is: 1,347.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.15 : 2,431.84 = 976.27 : x
  2. Step 2: Convert to fraction form
    1,762.15/2,431.84 = 976.27/x
  3. Step 3: Cross multiply
    1,762.15x = 2,431.84 × 976.27
  4. Step 4: Simplify right side
    1,762.15x = 2,374,132.44
  5. Step 5: Solve for x
    x = 2,374,132.44/1,762.15
  6. Step 6: Final answer
    x = 1,347.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.