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Finding the Fourth Proportional to 2,546.58, 3,512.37 and 1,708.23

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Solution

The fourth proportional to 2,546.58, 3,512.37 and 1,708.23 is: 2,356.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.58 : 3,512.37 = 1,708.23 : x
  2. Step 2: Convert to fraction form
    2,546.58/3,512.37 = 1,708.23/x
  3. Step 3: Cross multiply
    2,546.58x = 3,512.37 × 1,708.23
  4. Step 4: Simplify right side
    2,546.58x = 5,999,935.81
  5. Step 5: Solve for x
    x = 5,999,935.81/2,546.58
  6. Step 6: Final answer
    x = 2,356.08

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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.