Home / 1,746.23-2,618.97-513.30

Finding the Fourth Proportional to 1,746.23, 2,618.97 and 513.30

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Solution

The fourth proportional to 1,746.23, 2,618.97 and 513.30 is: 769.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.23 : 2,618.97 = 513.30 : x
  2. Step 2: Convert to fraction form
    1,746.23/2,618.97 = 513.30/x
  3. Step 3: Cross multiply
    1,746.23x = 2,618.97 × 513.30
  4. Step 4: Simplify right side
    1,746.23x = 1,344,317.30
  5. Step 5: Solve for x
    x = 1,344,317.30/1,746.23
  6. Step 6: Final answer
    x = 769.84

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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.