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Finding the Fourth Proportional to 2,485.60, 3,728.96 and 842.04

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Solution

The fourth proportional to 2,485.60, 3,728.96 and 842.04 is: 1,263.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485.60 : 3,728.96 = 842.04 : x
  2. Step 2: Convert to fraction form
    2,485.60/3,728.96 = 842.04/x
  3. Step 3: Cross multiply
    2,485.60x = 3,728.96 × 842.04
  4. Step 4: Simplify right side
    2,485.60x = 3,139,933.48
  5. Step 5: Solve for x
    x = 3,139,933.48/2,485.60
  6. Step 6: Final answer
    x = 1,263.25

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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.