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Finding the Fourth Proportional to 1,918.89, 2,856.53 and 1,829.43

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Solution

The fourth proportional to 1,918.89, 2,856.53 and 1,829.43 is: 2,723.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,918.89 : 2,856.53 = 1,829.43 : x
  2. Step 2: Convert to fraction form
    1,918.89/2,856.53 = 1,829.43/x
  3. Step 3: Cross multiply
    1,918.89x = 2,856.53 × 1,829.43
  4. Step 4: Simplify right side
    1,918.89x = 5,225,826.25
  5. Step 5: Solve for x
    x = 5,225,826.25/1,918.89
  6. Step 6: Final answer
    x = 2,723.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.