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Finding the Fourth Proportional to 1,513.88, 2,270.54 and 964.44

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Solution

The fourth proportional to 1,513.88, 2,270.54 and 964.44 is: 1,446.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.88 : 2,270.54 = 964.44 : x
  2. Step 2: Convert to fraction form
    1,513.88/2,270.54 = 964.44/x
  3. Step 3: Cross multiply
    1,513.88x = 2,270.54 × 964.44
  4. Step 4: Simplify right side
    1,513.88x = 2,189,799.60
  5. Step 5: Solve for x
    x = 2,189,799.60/1,513.88
  6. Step 6: Final answer
    x = 1,446.48

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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.