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Finding the Fourth Proportional to 1,988.64, 2,745.09 and 1,429.20

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Solution

The fourth proportional to 1,988.64, 2,745.09 and 1,429.20 is: 1,972.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.64 : 2,745.09 = 1,429.20 : x
  2. Step 2: Convert to fraction form
    1,988.64/2,745.09 = 1,429.20/x
  3. Step 3: Cross multiply
    1,988.64x = 2,745.09 × 1,429.20
  4. Step 4: Simplify right side
    1,988.64x = 3,923,282.63
  5. Step 5: Solve for x
    x = 3,923,282.63/1,988.64
  6. Step 6: Final answer
    x = 1,972.85

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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.