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Finding the Fourth Proportional to 1,672.88, 2,497.78 and 1,429.28

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Solution

The fourth proportional to 1,672.88, 2,497.78 and 1,429.28 is: 2,134.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.88 : 2,497.78 = 1,429.28 : x
  2. Step 2: Convert to fraction form
    1,672.88/2,497.78 = 1,429.28/x
  3. Step 3: Cross multiply
    1,672.88x = 2,497.78 × 1,429.28
  4. Step 4: Simplify right side
    1,672.88x = 3,570,027.00
  5. Step 5: Solve for x
    x = 3,570,027.00/1,672.88
  6. Step 6: Final answer
    x = 2,134.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.