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Finding the Fourth Proportional to 1,784.36, 2,689.92 and 1,665.44

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Solution

The fourth proportional to 1,784.36, 2,689.92 and 1,665.44 is: 2,510.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.36 : 2,689.92 = 1,665.44 : x
  2. Step 2: Convert to fraction form
    1,784.36/2,689.92 = 1,665.44/x
  3. Step 3: Cross multiply
    1,784.36x = 2,689.92 × 1,665.44
  4. Step 4: Simplify right side
    1,784.36x = 4,479,900.36
  5. Step 5: Solve for x
    x = 4,479,900.36/1,784.36
  6. Step 6: Final answer
    x = 2,510.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.