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Finding the Fourth Proportional to 2,406.18, 3,617.51 and 2,225.82

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Solution

The fourth proportional to 2,406.18, 3,617.51 and 2,225.82 is: 3,346.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.18 : 3,617.51 = 2,225.82 : x
  2. Step 2: Convert to fraction form
    2,406.18/3,617.51 = 2,225.82/x
  3. Step 3: Cross multiply
    2,406.18x = 3,617.51 × 2,225.82
  4. Step 4: Simplify right side
    2,406.18x = 8,051,914.98
  5. Step 5: Solve for x
    x = 8,051,914.98/2,406.18
  6. Step 6: Final answer
    x = 3,346.35

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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.