Home / 1,828.34-2,742.58-595.76

Finding the Fourth Proportional to 1,828.34, 2,742.58 and 595.76

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Solution

The fourth proportional to 1,828.34, 2,742.58 and 595.76 is: 893.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.34 : 2,742.58 = 595.76 : x
  2. Step 2: Convert to fraction form
    1,828.34/2,742.58 = 595.76/x
  3. Step 3: Cross multiply
    1,828.34x = 2,742.58 × 595.76
  4. Step 4: Simplify right side
    1,828.34x = 1,633,916.78
  5. Step 5: Solve for x
    x = 1,633,916.78/1,828.34
  6. Step 6: Final answer
    x = 893.66

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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.