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Finding the Fourth Proportional to 2,959.34, 4,083.92 and 1,633.01

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Solution

The fourth proportional to 2,959.34, 4,083.92 and 1,633.01 is: 2,253.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.34 : 4,083.92 = 1,633.01 : x
  2. Step 2: Convert to fraction form
    2,959.34/4,083.92 = 1,633.01/x
  3. Step 3: Cross multiply
    2,959.34x = 4,083.92 × 1,633.01
  4. Step 4: Simplify right side
    2,959.34x = 6,669,082.71
  5. Step 5: Solve for x
    x = 6,669,082.71/2,959.34
  6. Step 6: Final answer
    x = 2,253.57

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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.