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Finding the Fourth Proportional to 1,920.52, 2,647.53 and 1,272.67

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Solution

The fourth proportional to 1,920.52, 2,647.53 and 1,272.67 is: 1,754.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.52 : 2,647.53 = 1,272.67 : x
  2. Step 2: Convert to fraction form
    1,920.52/2,647.53 = 1,272.67/x
  3. Step 3: Cross multiply
    1,920.52x = 2,647.53 × 1,272.67
  4. Step 4: Simplify right side
    1,920.52x = 3,369,432.01
  5. Step 5: Solve for x
    x = 3,369,432.01/1,920.52
  6. Step 6: Final answer
    x = 1,754.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.