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Finding the Fourth Proportional to 2,406.90, 3,607.16 and 1,785.73

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Solution

The fourth proportional to 2,406.90, 3,607.16 and 1,785.73 is: 2,676.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.90 : 3,607.16 = 1,785.73 : x
  2. Step 2: Convert to fraction form
    2,406.90/3,607.16 = 1,785.73/x
  3. Step 3: Cross multiply
    2,406.90x = 3,607.16 × 1,785.73
  4. Step 4: Simplify right side
    2,406.90x = 6,441,404.90
  5. Step 5: Solve for x
    x = 6,441,404.90/2,406.90
  6. Step 6: Final answer
    x = 2,676.23

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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.