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Finding the Fourth Proportional to 1,846.71, 2,546.84 and 1,453.05

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Solution

The fourth proportional to 1,846.71, 2,546.84 and 1,453.05 is: 2,003.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.71 : 2,546.84 = 1,453.05 : x
  2. Step 2: Convert to fraction form
    1,846.71/2,546.84 = 1,453.05/x
  3. Step 3: Cross multiply
    1,846.71x = 2,546.84 × 1,453.05
  4. Step 4: Simplify right side
    1,846.71x = 3,700,688.60
  5. Step 5: Solve for x
    x = 3,700,688.60/1,846.71
  6. Step 6: Final answer
    x = 2,003.93

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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.