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Finding the Fourth Proportional to 2,121.94, 3,182.94 and 661.06

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Solution

The fourth proportional to 2,121.94, 3,182.94 and 661.06 is: 991.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.94 : 3,182.94 = 661.06 : x
  2. Step 2: Convert to fraction form
    2,121.94/3,182.94 = 661.06/x
  3. Step 3: Cross multiply
    2,121.94x = 3,182.94 × 661.06
  4. Step 4: Simplify right side
    2,121.94x = 2,104,114.32
  5. Step 5: Solve for x
    x = 2,104,114.32/2,121.94
  6. Step 6: Final answer
    x = 991.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.