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Finding the Fourth Proportional to 1,429.02, 1,961.54 and 1,268.15

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Solution

The fourth proportional to 1,429.02, 1,961.54 and 1,268.15 is: 1,740.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.02 : 1,961.54 = 1,268.15 : x
  2. Step 2: Convert to fraction form
    1,429.02/1,961.54 = 1,268.15/x
  3. Step 3: Cross multiply
    1,429.02x = 1,961.54 × 1,268.15
  4. Step 4: Simplify right side
    1,429.02x = 2,487,510.80
  5. Step 5: Solve for x
    x = 2,487,510.80/1,429.02
  6. Step 6: Final answer
    x = 1,740.71

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.