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Finding the Fourth Proportional to 2,406.41, 3,609.85 and 945.23

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Solution

The fourth proportional to 2,406.41, 3,609.85 and 945.23 is: 1,417.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.41 : 3,609.85 = 945.23 : x
  2. Step 2: Convert to fraction form
    2,406.41/3,609.85 = 945.23/x
  3. Step 3: Cross multiply
    2,406.41x = 3,609.85 × 945.23
  4. Step 4: Simplify right side
    2,406.41x = 3,412,118.10
  5. Step 5: Solve for x
    x = 3,412,118.10/2,406.41
  6. Step 6: Final answer
    x = 1,417.93

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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.