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Finding the Fourth Proportional to 2,005.52, 2,765.20 and 1,376.36

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Solution

The fourth proportional to 2,005.52, 2,765.20 and 1,376.36 is: 1,897.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.52 : 2,765.20 = 1,376.36 : x
  2. Step 2: Convert to fraction form
    2,005.52/2,765.20 = 1,376.36/x
  3. Step 3: Cross multiply
    2,005.52x = 2,765.20 × 1,376.36
  4. Step 4: Simplify right side
    2,005.52x = 3,805,910.67
  5. Step 5: Solve for x
    x = 3,805,910.67/2,005.52
  6. Step 6: Final answer
    x = 1,897.72

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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.