Home / 1,828.57-2,743.17-595.84

Finding the Fourth Proportional to 1,828.57, 2,743.17 and 595.84

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Solution

The fourth proportional to 1,828.57, 2,743.17 and 595.84 is: 893.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.57 : 2,743.17 = 595.84 : x
  2. Step 2: Convert to fraction form
    1,828.57/2,743.17 = 595.84/x
  3. Step 3: Cross multiply
    1,828.57x = 2,743.17 × 595.84
  4. Step 4: Simplify right side
    1,828.57x = 1,634,490.41
  5. Step 5: Solve for x
    x = 1,634,490.41/1,828.57
  6. Step 6: Final answer
    x = 893.86

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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.