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Finding the Fourth Proportional to 1,967.94, 2,951.01 and 669.06

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Solution

The fourth proportional to 1,967.94, 2,951.01 and 669.06 is: 1,003.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.94 : 2,951.01 = 669.06 : x
  2. Step 2: Convert to fraction form
    1,967.94/2,951.01 = 669.06/x
  3. Step 3: Cross multiply
    1,967.94x = 2,951.01 × 669.06
  4. Step 4: Simplify right side
    1,967.94x = 1,974,402.75
  5. Step 5: Solve for x
    x = 1,974,402.75/1,967.94
  6. Step 6: Final answer
    x = 1,003.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.