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Finding the Fourth Proportional to 1,686.24, 2,529.84 and 1,197.84

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Solution

The fourth proportional to 1,686.24, 2,529.84 and 1,197.84 is: 1,797.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.24 : 2,529.84 = 1,197.84 : x
  2. Step 2: Convert to fraction form
    1,686.24/2,529.84 = 1,197.84/x
  3. Step 3: Cross multiply
    1,686.24x = 2,529.84 × 1,197.84
  4. Step 4: Simplify right side
    1,686.24x = 3,030,343.55
  5. Step 5: Solve for x
    x = 3,030,343.55/1,686.24
  6. Step 6: Final answer
    x = 1,797.10

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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.