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Finding the Fourth Proportional to 1,733.82, 2,392.68 and 1,025.67

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Solution

The fourth proportional to 1,733.82, 2,392.68 and 1,025.67 is: 1,415.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.82 : 2,392.68 = 1,025.67 : x
  2. Step 2: Convert to fraction form
    1,733.82/2,392.68 = 1,025.67/x
  3. Step 3: Cross multiply
    1,733.82x = 2,392.68 × 1,025.67
  4. Step 4: Simplify right side
    1,733.82x = 2,454,100.10
  5. Step 5: Solve for x
    x = 2,454,100.10/1,733.82
  6. Step 6: Final answer
    x = 1,415.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.