Home / 2,975.54-4,106.49-1,649.67

Finding the Fourth Proportional to 2,975.54, 4,106.49 and 1,649.67

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Solution

The fourth proportional to 2,975.54, 4,106.49 and 1,649.67 is: 2,276.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.54 : 4,106.49 = 1,649.67 : x
  2. Step 2: Convert to fraction form
    2,975.54/4,106.49 = 1,649.67/x
  3. Step 3: Cross multiply
    2,975.54x = 4,106.49 × 1,649.67
  4. Step 4: Simplify right side
    2,975.54x = 6,774,364.15
  5. Step 5: Solve for x
    x = 6,774,364.15/2,975.54
  6. Step 6: Final answer
    x = 2,276.68

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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.