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Finding the Fourth Proportional to 2,898.40, 4,346.92 and 1,728.73

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Solution

The fourth proportional to 2,898.40, 4,346.92 and 1,728.73 is: 2,592.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.40 : 4,346.92 = 1,728.73 : x
  2. Step 2: Convert to fraction form
    2,898.40/4,346.92 = 1,728.73/x
  3. Step 3: Cross multiply
    2,898.40x = 4,346.92 × 1,728.73
  4. Step 4: Simplify right side
    2,898.40x = 7,514,651.01
  5. Step 5: Solve for x
    x = 7,514,651.01/2,898.40
  6. Step 6: Final answer
    x = 2,592.69

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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.