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Finding the Fourth Proportional to 3,098.64, 4,651.32 and 2,230.16

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Solution

The fourth proportional to 3,098.64, 4,651.32 and 2,230.16 is: 3,347.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.64 : 4,651.32 = 2,230.16 : x
  2. Step 2: Convert to fraction form
    3,098.64/4,651.32 = 2,230.16/x
  3. Step 3: Cross multiply
    3,098.64x = 4,651.32 × 2,230.16
  4. Step 4: Simplify right side
    3,098.64x = 10,373,187.81
  5. Step 5: Solve for x
    x = 10,373,187.81/3,098.64
  6. Step 6: Final answer
    x = 3,347.66

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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.