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Finding the Fourth Proportional to 1,882.72, 2,596.20 and 1,603.72

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Solution

The fourth proportional to 1,882.72, 2,596.20 and 1,603.72 is: 2,211.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.72 : 2,596.20 = 1,603.72 : x
  2. Step 2: Convert to fraction form
    1,882.72/2,596.20 = 1,603.72/x
  3. Step 3: Cross multiply
    1,882.72x = 2,596.20 × 1,603.72
  4. Step 4: Simplify right side
    1,882.72x = 4,163,577.86
  5. Step 5: Solve for x
    x = 4,163,577.86/1,882.72
  6. Step 6: Final answer
    x = 2,211.47

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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.