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Finding the Fourth Proportional to 2,131.64, 3,192.79 and 1,033.70

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Solution

The fourth proportional to 2,131.64, 3,192.79 and 1,033.70 is: 1,548.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.64 : 3,192.79 = 1,033.70 : x
  2. Step 2: Convert to fraction form
    2,131.64/3,192.79 = 1,033.70/x
  3. Step 3: Cross multiply
    2,131.64x = 3,192.79 × 1,033.70
  4. Step 4: Simplify right side
    2,131.64x = 3,300,386.79
  5. Step 5: Solve for x
    x = 3,300,386.79/2,131.64
  6. Step 6: Final answer
    x = 1,548.28

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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.