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Finding the Fourth Proportional to 1,974.22, 2,960.72 and 587.30

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Solution

The fourth proportional to 1,974.22, 2,960.72 and 587.30 is: 880.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.22 : 2,960.72 = 587.30 : x
  2. Step 2: Convert to fraction form
    1,974.22/2,960.72 = 587.30/x
  3. Step 3: Cross multiply
    1,974.22x = 2,960.72 × 587.30
  4. Step 4: Simplify right side
    1,974.22x = 1,738,813.12
  5. Step 5: Solve for x
    x = 1,738,813.12/1,974.22
  6. Step 6: Final answer
    x = 880.76

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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.