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Finding the Fourth Proportional to 1,823.64, 2,735.44 and 959.64

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Solution

The fourth proportional to 1,823.64, 2,735.44 and 959.64 is: 1,439.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.64 : 2,735.44 = 959.64 : x
  2. Step 2: Convert to fraction form
    1,823.64/2,735.44 = 959.64/x
  3. Step 3: Cross multiply
    1,823.64x = 2,735.44 × 959.64
  4. Step 4: Simplify right side
    1,823.64x = 2,625,037.64
  5. Step 5: Solve for x
    x = 2,625,037.64/1,823.64
  6. Step 6: Final answer
    x = 1,439.45

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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.