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Finding the Fourth Proportional to 2,404.23, 3,607.16 and 942.59

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Solution

The fourth proportional to 2,404.23, 3,607.16 and 942.59 is: 1,414.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.23 : 3,607.16 = 942.59 : x
  2. Step 2: Convert to fraction form
    2,404.23/3,607.16 = 942.59/x
  3. Step 3: Cross multiply
    2,404.23x = 3,607.16 × 942.59
  4. Step 4: Simplify right side
    2,404.23x = 3,400,050.20
  5. Step 5: Solve for x
    x = 3,400,050.20/2,404.23
  6. Step 6: Final answer
    x = 1,414.20

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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.