Home / 1,828.22-2,742.38-595.77

Finding the Fourth Proportional to 1,828.22, 2,742.38 and 595.77

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Solution

The fourth proportional to 1,828.22, 2,742.38 and 595.77 is: 893.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.22 : 2,742.38 = 595.77 : x
  2. Step 2: Convert to fraction form
    1,828.22/2,742.38 = 595.77/x
  3. Step 3: Cross multiply
    1,828.22x = 2,742.38 × 595.77
  4. Step 4: Simplify right side
    1,828.22x = 1,633,824.75
  5. Step 5: Solve for x
    x = 1,633,824.75/1,828.22
  6. Step 6: Final answer
    x = 893.67

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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.