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Finding the Fourth Proportional to 1,845.70, 2,546.43 and 1,182.92

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Solution

The fourth proportional to 1,845.70, 2,546.43 and 1,182.92 is: 1,632.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845.70 : 2,546.43 = 1,182.92 : x
  2. Step 2: Convert to fraction form
    1,845.70/2,546.43 = 1,182.92/x
  3. Step 3: Cross multiply
    1,845.70x = 2,546.43 × 1,182.92
  4. Step 4: Simplify right side
    1,845.70x = 3,012,210.58
  5. Step 5: Solve for x
    x = 3,012,210.58/1,845.70
  6. Step 6: Final answer
    x = 1,632.02

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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.