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Finding the Fourth Proportional to 2,017.62, 2,784.81 and 1,232.32

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Solution

The fourth proportional to 2,017.62, 2,784.81 and 1,232.32 is: 1,700.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.62 : 2,784.81 = 1,232.32 : x
  2. Step 2: Convert to fraction form
    2,017.62/2,784.81 = 1,232.32/x
  3. Step 3: Cross multiply
    2,017.62x = 2,784.81 × 1,232.32
  4. Step 4: Simplify right side
    2,017.62x = 3,431,777.06
  5. Step 5: Solve for x
    x = 3,431,777.06/2,017.62
  6. Step 6: Final answer
    x = 1,700.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.