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Finding the Fourth Proportional to 2,969.70, 4,455.45 and 1,670.30

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Solution

The fourth proportional to 2,969.70, 4,455.45 and 1,670.30 is: 2,505.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.70 : 4,455.45 = 1,670.30 : x
  2. Step 2: Convert to fraction form
    2,969.70/4,455.45 = 1,670.30/x
  3. Step 3: Cross multiply
    2,969.70x = 4,455.45 × 1,670.30
  4. Step 4: Simplify right side
    2,969.70x = 7,441,938.14
  5. Step 5: Solve for x
    x = 7,441,938.14/2,969.70
  6. Step 6: Final answer
    x = 2,505.96

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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.