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Finding the Fourth Proportional to 2,898.73, 4,000.32 and 1,639.73

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Solution

The fourth proportional to 2,898.73, 4,000.32 and 1,639.73 is: 2,262.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.73 : 4,000.32 = 1,639.73 : x
  2. Step 2: Convert to fraction form
    2,898.73/4,000.32 = 1,639.73/x
  3. Step 3: Cross multiply
    2,898.73x = 4,000.32 × 1,639.73
  4. Step 4: Simplify right side
    2,898.73x = 6,559,420.61
  5. Step 5: Solve for x
    x = 6,559,420.61/2,898.73
  6. Step 6: Final answer
    x = 2,262.86

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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.