Home / 2,969.89-4,456.80-1,584.22

Finding the Fourth Proportional to 2,969.89, 4,456.80 and 1,584.22

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Solution

The fourth proportional to 2,969.89, 4,456.80 and 1,584.22 is: 2,377.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.89 : 4,456.80 = 1,584.22 : x
  2. Step 2: Convert to fraction form
    2,969.89/4,456.80 = 1,584.22/x
  3. Step 3: Cross multiply
    2,969.89x = 4,456.80 × 1,584.22
  4. Step 4: Simplify right side
    2,969.89x = 7,060,551.70
  5. Step 5: Solve for x
    x = 7,060,551.70/2,969.89
  6. Step 6: Final answer
    x = 2,377.38

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1.5x scale

Why These Related Problems?

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