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Finding the Fourth Proportional to 1,733.61, 2,600.38 and 435.09

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Solution

The fourth proportional to 1,733.61, 2,600.38 and 435.09 is: 652.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.61 : 2,600.38 = 435.09 : x
  2. Step 2: Convert to fraction form
    1,733.61/2,600.38 = 435.09/x
  3. Step 3: Cross multiply
    1,733.61x = 2,600.38 × 435.09
  4. Step 4: Simplify right side
    1,733.61x = 1,131,399.33
  5. Step 5: Solve for x
    x = 1,131,399.33/1,733.61
  6. Step 6: Final answer
    x = 652.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.