Home / 1,566.87-2,351.21-580.37

Finding the Fourth Proportional to 1,566.87, 2,351.21 and 580.37

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Solution

The fourth proportional to 1,566.87, 2,351.21 and 580.37 is: 870.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.87 : 2,351.21 = 580.37 : x
  2. Step 2: Convert to fraction form
    1,566.87/2,351.21 = 580.37/x
  3. Step 3: Cross multiply
    1,566.87x = 2,351.21 × 580.37
  4. Step 4: Simplify right side
    1,566.87x = 1,364,571.75
  5. Step 5: Solve for x
    x = 1,364,571.75/1,566.87
  6. Step 6: Final answer
    x = 870.89

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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.