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Finding the Fourth Proportional to 1,884.67, 2,595.36 and 1,764.33

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Solution

The fourth proportional to 1,884.67, 2,595.36 and 1,764.33 is: 2,429.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.67 : 2,595.36 = 1,764.33 : x
  2. Step 2: Convert to fraction form
    1,884.67/2,595.36 = 1,764.33/x
  3. Step 3: Cross multiply
    1,884.67x = 2,595.36 × 1,764.33
  4. Step 4: Simplify right side
    1,884.67x = 4,579,082.99
  5. Step 5: Solve for x
    x = 4,579,082.99/1,884.67
  6. Step 6: Final answer
    x = 2,429.65

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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.