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Finding the Fourth Proportional to 1,991.64, 2,985.52 and 951.12

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Solution

The fourth proportional to 1,991.64, 2,985.52 and 951.12 is: 1,425.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.64 : 2,985.52 = 951.12 : x
  2. Step 2: Convert to fraction form
    1,991.64/2,985.52 = 951.12/x
  3. Step 3: Cross multiply
    1,991.64x = 2,985.52 × 951.12
  4. Step 4: Simplify right side
    1,991.64x = 2,839,587.78
  5. Step 5: Solve for x
    x = 2,839,587.78/1,991.64
  6. Step 6: Final answer
    x = 1,425.75

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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.