Home / 1,584.90-2,190.78-1,464.48

Finding the Fourth Proportional to 1,584.90, 2,190.78 and 1,464.48

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Solution

The fourth proportional to 1,584.90, 2,190.78 and 1,464.48 is: 2,024.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.90 : 2,190.78 = 1,464.48 : x
  2. Step 2: Convert to fraction form
    1,584.90/2,190.78 = 1,464.48/x
  3. Step 3: Cross multiply
    1,584.90x = 2,190.78 × 1,464.48
  4. Step 4: Simplify right side
    1,584.90x = 3,208,353.49
  5. Step 5: Solve for x
    x = 3,208,353.49/1,584.90
  6. Step 6: Final answer
    x = 2,024.33

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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.