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Finding the Fourth Proportional to 1,967.04, 2,950.56 and 669.36

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Solution

The fourth proportional to 1,967.04, 2,950.56 and 669.36 is: 1,004.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.04 : 2,950.56 = 669.36 : x
  2. Step 2: Convert to fraction form
    1,967.04/2,950.56 = 669.36/x
  3. Step 3: Cross multiply
    1,967.04x = 2,950.56 × 669.36
  4. Step 4: Simplify right side
    1,967.04x = 1,974,986.84
  5. Step 5: Solve for x
    x = 1,974,986.84/1,967.04
  6. Step 6: Final answer
    x = 1,004.04

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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.