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Finding the Fourth Proportional to 2,854.29, 3,938.81 and 1,595.33

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Solution

The fourth proportional to 2,854.29, 3,938.81 and 1,595.33 is: 2,201.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.29 : 3,938.81 = 1,595.33 : x
  2. Step 2: Convert to fraction form
    2,854.29/3,938.81 = 1,595.33/x
  3. Step 3: Cross multiply
    2,854.29x = 3,938.81 × 1,595.33
  4. Step 4: Simplify right side
    2,854.29x = 6,283,674.09
  5. Step 5: Solve for x
    x = 6,283,674.09/2,854.29
  6. Step 6: Final answer
    x = 2,201.48

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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.