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Finding the Fourth Proportional to 2,435.60, 3,624.14 and 2,427.38

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Solution

The fourth proportional to 2,435.60, 3,624.14 and 2,427.38 is: 3,611.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,435.60 : 3,624.14 = 2,427.38 : x
  2. Step 2: Convert to fraction form
    2,435.60/3,624.14 = 2,427.38/x
  3. Step 3: Cross multiply
    2,435.60x = 3,624.14 × 2,427.38
  4. Step 4: Simplify right side
    2,435.60x = 8,797,164.95
  5. Step 5: Solve for x
    x = 8,797,164.95/2,435.60
  6. Step 6: Final answer
    x = 3,611.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.