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Finding the Fourth Proportional to 2,123.73, 2,919.43 and 1,897.29

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Solution

The fourth proportional to 2,123.73, 2,919.43 and 1,897.29 is: 2,608.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.73 : 2,919.43 = 1,897.29 : x
  2. Step 2: Convert to fraction form
    2,123.73/2,919.43 = 1,897.29/x
  3. Step 3: Cross multiply
    2,123.73x = 2,919.43 × 1,897.29
  4. Step 4: Simplify right side
    2,123.73x = 5,539,003.16
  5. Step 5: Solve for x
    x = 5,539,003.16/2,123.73
  6. Step 6: Final answer
    x = 2,608.15

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.