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Finding the Fourth Proportional to 1,468.84, 2,202.44 and 949.64

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Solution

The fourth proportional to 1,468.84, 2,202.44 and 949.64 is: 1,423.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.84 : 2,202.44 = 949.64 : x
  2. Step 2: Convert to fraction form
    1,468.84/2,202.44 = 949.64/x
  3. Step 3: Cross multiply
    1,468.84x = 2,202.44 × 949.64
  4. Step 4: Simplify right side
    1,468.84x = 2,091,525.12
  5. Step 5: Solve for x
    x = 2,091,525.12/1,468.84
  6. Step 6: Final answer
    x = 1,423.93

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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.