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Finding the Fourth Proportional to 2,403.38, 3,603.72 and 942.14

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Solution

The fourth proportional to 2,403.38, 3,603.72 and 942.14 is: 1,412.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403.38 : 3,603.72 = 942.14 : x
  2. Step 2: Convert to fraction form
    2,403.38/3,603.72 = 942.14/x
  3. Step 3: Cross multiply
    2,403.38x = 3,603.72 × 942.14
  4. Step 4: Simplify right side
    2,403.38x = 3,395,208.76
  5. Step 5: Solve for x
    x = 3,395,208.76/2,403.38
  6. Step 6: Final answer
    x = 1,412.68

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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.