Home / 2,976.16-4,106.96-1,649.82

Finding the Fourth Proportional to 2,976.16, 4,106.96 and 1,649.82

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Solution

The fourth proportional to 2,976.16, 4,106.96 and 1,649.82 is: 2,276.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.16 : 4,106.96 = 1,649.82 : x
  2. Step 2: Convert to fraction form
    2,976.16/4,106.96 = 1,649.82/x
  3. Step 3: Cross multiply
    2,976.16x = 4,106.96 × 1,649.82
  4. Step 4: Simplify right side
    2,976.16x = 6,775,744.75
  5. Step 5: Solve for x
    x = 6,775,744.75/2,976.16
  6. Step 6: Final answer
    x = 2,276.67

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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.