Home / 2,132.31-3,196.03-975.63

Finding the Fourth Proportional to 2,132.31, 3,196.03 and 975.63

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Solution

The fourth proportional to 2,132.31, 3,196.03 and 975.63 is: 1,462.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.31 : 3,196.03 = 975.63 : x
  2. Step 2: Convert to fraction form
    2,132.31/3,196.03 = 975.63/x
  3. Step 3: Cross multiply
    2,132.31x = 3,196.03 × 975.63
  4. Step 4: Simplify right side
    2,132.31x = 3,118,124.33
  5. Step 5: Solve for x
    x = 3,118,124.33/2,132.31
  6. Step 6: Final answer
    x = 1,462.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.