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Finding the Fourth Proportional to 2,546.02, 3,818.41 and 985.51

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Solution

The fourth proportional to 2,546.02, 3,818.41 and 985.51 is: 1,478.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.02 : 3,818.41 = 985.51 : x
  2. Step 2: Convert to fraction form
    2,546.02/3,818.41 = 985.51/x
  3. Step 3: Cross multiply
    2,546.02x = 3,818.41 × 985.51
  4. Step 4: Simplify right side
    2,546.02x = 3,763,081.24
  5. Step 5: Solve for x
    x = 3,763,081.24/2,546.02
  6. Step 6: Final answer
    x = 1,478.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.