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Finding the Fourth Proportional to 1,975.59, 2,961.40 and 676.17

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Solution

The fourth proportional to 1,975.59, 2,961.40 and 676.17 is: 1,013.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.59 : 2,961.40 = 676.17 : x
  2. Step 2: Convert to fraction form
    1,975.59/2,961.40 = 676.17/x
  3. Step 3: Cross multiply
    1,975.59x = 2,961.40 × 676.17
  4. Step 4: Simplify right side
    1,975.59x = 2,002,409.84
  5. Step 5: Solve for x
    x = 2,002,409.84/1,975.59
  6. Step 6: Final answer
    x = 1,013.58

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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.