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Finding the Fourth Proportional to 1,685.91, 2,525.18 and 1,390.09

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Solution

The fourth proportional to 1,685.91, 2,525.18 and 1,390.09 is: 2,082.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.91 : 2,525.18 = 1,390.09 : x
  2. Step 2: Convert to fraction form
    1,685.91/2,525.18 = 1,390.09/x
  3. Step 3: Cross multiply
    1,685.91x = 2,525.18 × 1,390.09
  4. Step 4: Simplify right side
    1,685.91x = 3,510,224.63
  5. Step 5: Solve for x
    x = 3,510,224.63/1,685.91
  6. Step 6: Final answer
    x = 2,082.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.