Home / 2,071.30-3,108.96-976.42

Finding the Fourth Proportional to 2,071.30, 3,108.96 and 976.42

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Solution

The fourth proportional to 2,071.30, 3,108.96 and 976.42 is: 1,465.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.30 : 3,108.96 = 976.42 : x
  2. Step 2: Convert to fraction form
    2,071.30/3,108.96 = 976.42/x
  3. Step 3: Cross multiply
    2,071.30x = 3,108.96 × 976.42
  4. Step 4: Simplify right side
    2,071.30x = 3,035,650.72
  5. Step 5: Solve for x
    x = 3,035,650.72/2,071.30
  6. Step 6: Final answer
    x = 1,465.58

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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.