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Finding the Fourth Proportional to 1,655.70, 2,471.39 and 1,546.26

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Solution

The fourth proportional to 1,655.70, 2,471.39 and 1,546.26 is: 2,308.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.70 : 2,471.39 = 1,546.26 : x
  2. Step 2: Convert to fraction form
    1,655.70/2,471.39 = 1,546.26/x
  3. Step 3: Cross multiply
    1,655.70x = 2,471.39 × 1,546.26
  4. Step 4: Simplify right side
    1,655.70x = 3,821,403.77
  5. Step 5: Solve for x
    x = 3,821,403.77/1,655.70
  6. Step 6: Final answer
    x = 2,308.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.