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Finding the Fourth Proportional to 2,546.55, 3,816.92 and 985.75

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Solution

The fourth proportional to 2,546.55, 3,816.92 and 985.75 is: 1,477.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.55 : 3,816.92 = 985.75 : x
  2. Step 2: Convert to fraction form
    2,546.55/3,816.92 = 985.75/x
  3. Step 3: Cross multiply
    2,546.55x = 3,816.92 × 985.75
  4. Step 4: Simplify right side
    2,546.55x = 3,762,521.81
  5. Step 5: Solve for x
    x = 3,762,521.81/2,546.55
  6. Step 6: Final answer
    x = 1,477.50

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Why These Related Problems?

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