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Finding the Fourth Proportional to 1,617.64, 2,426.46 and 751.84

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Solution

The fourth proportional to 1,617.64, 2,426.46 and 751.84 is: 1,127.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.64 : 2,426.46 = 751.84 : x
  2. Step 2: Convert to fraction form
    1,617.64/2,426.46 = 751.84/x
  3. Step 3: Cross multiply
    1,617.64x = 2,426.46 × 751.84
  4. Step 4: Simplify right side
    1,617.64x = 1,824,309.69
  5. Step 5: Solve for x
    x = 1,824,309.69/1,617.64
  6. Step 6: Final answer
    x = 1,127.76

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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.