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Finding the Fourth Proportional to 3,225, 4,450.78 and 2,045.64

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Solution

The fourth proportional to 3,225, 4,450.78 and 2,045.64 is: 2,823.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,225 : 4,450.78 = 2,045.64 : x
  2. Step 2: Convert to fraction form
    3,225/4,450.78 = 2,045.64/x
  3. Step 3: Cross multiply
    3,225x = 4,450.78 × 2,045.64
  4. Step 4: Simplify right side
    3,225x = 9,104,693.60
  5. Step 5: Solve for x
    x = 9,104,693.60/3,225
  6. Step 6: Final answer
    x = 2,823.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.