Home / 1,594.86-2,378.82-1,546.26

Finding the Fourth Proportional to 1,594.86, 2,378.82 and 1,546.26

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Solution

The fourth proportional to 1,594.86, 2,378.82 and 1,546.26 is: 2,306.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.86 : 2,378.82 = 1,546.26 : x
  2. Step 2: Convert to fraction form
    1,594.86/2,378.82 = 1,546.26/x
  3. Step 3: Cross multiply
    1,594.86x = 2,378.82 × 1,546.26
  4. Step 4: Simplify right side
    1,594.86x = 3,678,274.21
  5. Step 5: Solve for x
    x = 3,678,274.21/1,594.86
  6. Step 6: Final answer
    x = 2,306.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.