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Finding the Fourth Proportional to 2,485.54, 3,728.31 and 842.10

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Solution

The fourth proportional to 2,485.54, 3,728.31 and 842.10 is: 1,263.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485.54 : 3,728.31 = 842.10 : x
  2. Step 2: Convert to fraction form
    2,485.54/3,728.31 = 842.10/x
  3. Step 3: Cross multiply
    2,485.54x = 3,728.31 × 842.10
  4. Step 4: Simplify right side
    2,485.54x = 3,139,597.45
  5. Step 5: Solve for x
    x = 3,139,597.45/2,485.54
  6. Step 6: Final answer
    x = 1,263.15

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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.