Home / 1,746.23-2,618.95-513.31

Finding the Fourth Proportional to 1,746.23, 2,618.95 and 513.31

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Solution

The fourth proportional to 1,746.23, 2,618.95 and 513.31 is: 769.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.23 : 2,618.95 = 513.31 : x
  2. Step 2: Convert to fraction form
    1,746.23/2,618.95 = 513.31/x
  3. Step 3: Cross multiply
    1,746.23x = 2,618.95 × 513.31
  4. Step 4: Simplify right side
    1,746.23x = 1,344,333.22
  5. Step 5: Solve for x
    x = 1,344,333.22/1,746.23
  6. Step 6: Final answer
    x = 769.85

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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.