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Finding the Fourth Proportional to 2,403.20, 3,604.48 and 942.08

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Solution

The fourth proportional to 2,403.20, 3,604.48 and 942.08 is: 1,412.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403.20 : 3,604.48 = 942.08 : x
  2. Step 2: Convert to fraction form
    2,403.20/3,604.48 = 942.08/x
  3. Step 3: Cross multiply
    2,403.20x = 3,604.48 × 942.08
  4. Step 4: Simplify right side
    2,403.20x = 3,395,708.52
  5. Step 5: Solve for x
    x = 3,395,708.52/2,403.20
  6. Step 6: Final answer
    x = 1,412.99

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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.