Home / 1,733.38-2,599.76-564.21

Finding the Fourth Proportional to 1,733.38, 2,599.76 and 564.21

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Solution

The fourth proportional to 1,733.38, 2,599.76 and 564.21 is: 846.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.38 : 2,599.76 = 564.21 : x
  2. Step 2: Convert to fraction form
    1,733.38/2,599.76 = 564.21/x
  3. Step 3: Cross multiply
    1,733.38x = 2,599.76 × 564.21
  4. Step 4: Simplify right side
    1,733.38x = 1,466,810.59
  5. Step 5: Solve for x
    x = 1,466,810.59/1,733.38
  6. Step 6: Final answer
    x = 846.22

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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.