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Finding the Fourth Proportional to 3,082.63, 4,254.01 and 1,685.29

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Solution

The fourth proportional to 3,082.63, 4,254.01 and 1,685.29 is: 2,325.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.63 : 4,254.01 = 1,685.29 : x
  2. Step 2: Convert to fraction form
    3,082.63/4,254.01 = 1,685.29/x
  3. Step 3: Cross multiply
    3,082.63x = 4,254.01 × 1,685.29
  4. Step 4: Simplify right side
    3,082.63x = 7,169,240.51
  5. Step 5: Solve for x
    x = 7,169,240.51/3,082.63
  6. Step 6: Final answer
    x = 2,325.69

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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.