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Finding the Fourth Proportional to 2,406.00, 3,609.68 and 925.90

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Solution

The fourth proportional to 2,406.00, 3,609.68 and 925.90 is: 1,389.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.00 : 3,609.68 = 925.90 : x
  2. Step 2: Convert to fraction form
    2,406.00/3,609.68 = 925.90/x
  3. Step 3: Cross multiply
    2,406.00x = 3,609.68 × 925.90
  4. Step 4: Simplify right side
    2,406.00x = 3,342,189.06
  5. Step 5: Solve for x
    x = 3,342,189.06/2,406.00
  6. Step 6: Final answer
    x = 1,389.11

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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.