Home / 1,975.98-2,964.06-1,584.18

Finding the Fourth Proportional to 1,975.98, 2,964.06 and 1,584.18

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Solution

The fourth proportional to 1,975.98, 2,964.06 and 1,584.18 is: 2,376.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.98 : 2,964.06 = 1,584.18 : x
  2. Step 2: Convert to fraction form
    1,975.98/2,964.06 = 1,584.18/x
  3. Step 3: Cross multiply
    1,975.98x = 2,964.06 × 1,584.18
  4. Step 4: Simplify right side
    1,975.98x = 4,695,604.57
  5. Step 5: Solve for x
    x = 4,695,604.57/1,975.98
  6. Step 6: Final answer
    x = 2,376.34

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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.