Home / 1,823.70-2,735.29-590.98

Finding the Fourth Proportional to 1,823.70, 2,735.29 and 590.98

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Solution

The fourth proportional to 1,823.70, 2,735.29 and 590.98 is: 886.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.70 : 2,735.29 = 590.98 : x
  2. Step 2: Convert to fraction form
    1,823.70/2,735.29 = 590.98/x
  3. Step 3: Cross multiply
    1,823.70x = 2,735.29 × 590.98
  4. Step 4: Simplify right side
    1,823.70x = 1,616,501.68
  5. Step 5: Solve for x
    x = 1,616,501.68/1,823.70
  6. Step 6: Final answer
    x = 886.39

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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.