Home / 1,734.23-2,601.38-564.23

Finding the Fourth Proportional to 1,734.23, 2,601.38 and 564.23

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Solution

The fourth proportional to 1,734.23, 2,601.38 and 564.23 is: 846.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.23 : 2,601.38 = 564.23 : x
  2. Step 2: Convert to fraction form
    1,734.23/2,601.38 = 564.23/x
  3. Step 3: Cross multiply
    1,734.23x = 2,601.38 × 564.23
  4. Step 4: Simplify right side
    1,734.23x = 1,467,784.55
  5. Step 5: Solve for x
    x = 1,467,784.55/1,734.23
  6. Step 6: Final answer
    x = 846.36

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1.5x scale

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.