Home / 1,734.28-2,601.12-564.12

Finding the Fourth Proportional to 1,734.28, 2,601.12 and 564.12

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Solution

The fourth proportional to 1,734.28, 2,601.12 and 564.12 is: 846.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.28 : 2,601.12 = 564.12 : x
  2. Step 2: Convert to fraction form
    1,734.28/2,601.12 = 564.12/x
  3. Step 3: Cross multiply
    1,734.28x = 2,601.12 × 564.12
  4. Step 4: Simplify right side
    1,734.28x = 1,467,343.81
  5. Step 5: Solve for x
    x = 1,467,343.81/1,734.28
  6. Step 6: Final answer
    x = 846.08

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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.