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Finding the Fourth Proportional to 3,164.58, 4,744.56 and 1,603.86

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Solution

The fourth proportional to 3,164.58, 4,744.56 and 1,603.86 is: 2,404.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.58 : 4,744.56 = 1,603.86 : x
  2. Step 2: Convert to fraction form
    3,164.58/4,744.56 = 1,603.86/x
  3. Step 3: Cross multiply
    3,164.58x = 4,744.56 × 1,603.86
  4. Step 4: Simplify right side
    3,164.58x = 7,609,610.00
  5. Step 5: Solve for x
    x = 7,609,610.00/3,164.58
  6. Step 6: Final answer
    x = 2,404.62

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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.