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Finding the Fourth Proportional to 1,898.29, 2,845.47 and 727.98

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Solution

The fourth proportional to 1,898.29, 2,845.47 and 727.98 is: 1,091.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.29 : 2,845.47 = 727.98 : x
  2. Step 2: Convert to fraction form
    1,898.29/2,845.47 = 727.98/x
  3. Step 3: Cross multiply
    1,898.29x = 2,845.47 × 727.98
  4. Step 4: Simplify right side
    1,898.29x = 2,071,437.31
  5. Step 5: Solve for x
    x = 2,071,437.31/1,898.29
  6. Step 6: Final answer
    x = 1,091.21

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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.