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Finding the Fourth Proportional to 2,405.60, 3,609.30 and 945.78

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Solution

The fourth proportional to 2,405.60, 3,609.30 and 945.78 is: 1,419.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.60 : 3,609.30 = 945.78 : x
  2. Step 2: Convert to fraction form
    2,405.60/3,609.30 = 945.78/x
  3. Step 3: Cross multiply
    2,405.60x = 3,609.30 × 945.78
  4. Step 4: Simplify right side
    2,405.60x = 3,413,603.75
  5. Step 5: Solve for x
    x = 3,413,603.75/2,405.60
  6. Step 6: Final answer
    x = 1,419.02

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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.