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Finding the Fourth Proportional to 1,733.92, 2,392.03 and 1,174.18

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Solution

The fourth proportional to 1,733.92, 2,392.03 and 1,174.18 is: 1,619.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.92 : 2,392.03 = 1,174.18 : x
  2. Step 2: Convert to fraction form
    1,733.92/2,392.03 = 1,174.18/x
  3. Step 3: Cross multiply
    1,733.92x = 2,392.03 × 1,174.18
  4. Step 4: Simplify right side
    1,733.92x = 2,808,673.79
  5. Step 5: Solve for x
    x = 2,808,673.79/1,733.92
  6. Step 6: Final answer
    x = 1,619.84

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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.