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Finding the Fourth Proportional to 1,635.40, 2,454.06 and 661.36

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Solution

The fourth proportional to 1,635.40, 2,454.06 and 661.36 is: 992.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.40 : 2,454.06 = 661.36 : x
  2. Step 2: Convert to fraction form
    1,635.40/2,454.06 = 661.36/x
  3. Step 3: Cross multiply
    1,635.40x = 2,454.06 × 661.36
  4. Step 4: Simplify right side
    1,635.40x = 1,623,017.12
  5. Step 5: Solve for x
    x = 1,623,017.12/1,635.40
  6. Step 6: Final answer
    x = 992.43

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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.