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Finding the Fourth Proportional to 1,972.44, 2,958.72 and 511.60

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Solution

The fourth proportional to 1,972.44, 2,958.72 and 511.60 is: 767.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.44 : 2,958.72 = 511.60 : x
  2. Step 2: Convert to fraction form
    1,972.44/2,958.72 = 511.60/x
  3. Step 3: Cross multiply
    1,972.44x = 2,958.72 × 511.60
  4. Step 4: Simplify right side
    1,972.44x = 1,513,681.15
  5. Step 5: Solve for x
    x = 1,513,681.15/1,972.44
  6. Step 6: Final answer
    x = 767.42

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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.