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Finding the Fourth Proportional to 1,635.52, 2,453.28 and 661.64

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Solution

The fourth proportional to 1,635.52, 2,453.28 and 661.64 is: 992.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.52 : 2,453.28 = 661.64 : x
  2. Step 2: Convert to fraction form
    1,635.52/2,453.28 = 661.64/x
  3. Step 3: Cross multiply
    1,635.52x = 2,453.28 × 661.64
  4. Step 4: Simplify right side
    1,635.52x = 1,623,188.18
  5. Step 5: Solve for x
    x = 1,623,188.18/1,635.52
  6. Step 6: Final answer
    x = 992.46

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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.