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Finding the Fourth Proportional to 2,349.96, 3,524.22 and 2,017.64

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Solution

The fourth proportional to 2,349.96, 3,524.22 and 2,017.64 is: 3,025.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.96 : 3,524.22 = 2,017.64 : x
  2. Step 2: Convert to fraction form
    2,349.96/3,524.22 = 2,017.64/x
  3. Step 3: Cross multiply
    2,349.96x = 3,524.22 × 2,017.64
  4. Step 4: Simplify right side
    2,349.96x = 7,110,607.24
  5. Step 5: Solve for x
    x = 7,110,607.24/2,349.96
  6. Step 6: Final answer
    x = 3,025.84

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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.