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Finding the Fourth Proportional to 1,733.91, 2,600.86 and 435.37

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Solution

The fourth proportional to 1,733.91, 2,600.86 and 435.37 is: 653.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.91 : 2,600.86 = 435.37 : x
  2. Step 2: Convert to fraction form
    1,733.91/2,600.86 = 435.37/x
  3. Step 3: Cross multiply
    1,733.91x = 2,600.86 × 435.37
  4. Step 4: Simplify right side
    1,733.91x = 1,132,336.42
  5. Step 5: Solve for x
    x = 1,132,336.42/1,733.91
  6. Step 6: Final answer
    x = 653.06

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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.