Home / 1,823.54-2,735.91-590.96

Finding the Fourth Proportional to 1,823.54, 2,735.91 and 590.96

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Solution

The fourth proportional to 1,823.54, 2,735.91 and 590.96 is: 886.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.54 : 2,735.91 = 590.96 : x
  2. Step 2: Convert to fraction form
    1,823.54/2,735.91 = 590.96/x
  3. Step 3: Cross multiply
    1,823.54x = 2,735.91 × 590.96
  4. Step 4: Simplify right side
    1,823.54x = 1,616,820.21
  5. Step 5: Solve for x
    x = 1,616,820.21/1,823.54
  6. Step 6: Final answer
    x = 886.64

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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.