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Finding the Fourth Proportional to 2,446.14, 3,669.21 and 597.25

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Solution

The fourth proportional to 2,446.14, 3,669.21 and 597.25 is: 895.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.14 : 3,669.21 = 597.25 : x
  2. Step 2: Convert to fraction form
    2,446.14/3,669.21 = 597.25/x
  3. Step 3: Cross multiply
    2,446.14x = 3,669.21 × 597.25
  4. Step 4: Simplify right side
    2,446.14x = 2,191,435.67
  5. Step 5: Solve for x
    x = 2,191,435.67/2,446.14
  6. Step 6: Final answer
    x = 895.88

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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.