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Finding the Fourth Proportional to 1,952.09, 2,927.52 and 653.25

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Solution

The fourth proportional to 1,952.09, 2,927.52 and 653.25 is: 979.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.09 : 2,927.52 = 653.25 : x
  2. Step 2: Convert to fraction form
    1,952.09/2,927.52 = 653.25/x
  3. Step 3: Cross multiply
    1,952.09x = 2,927.52 × 653.25
  4. Step 4: Simplify right side
    1,952.09x = 1,912,402.44
  5. Step 5: Solve for x
    x = 1,912,402.44/1,952.09
  6. Step 6: Final answer
    x = 979.67

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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.