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Finding the Fourth Proportional to 1,634.80, 2,454.05 and 661.59

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Solution

The fourth proportional to 1,634.80, 2,454.05 and 661.59 is: 993.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.80 : 2,454.05 = 661.59 : x
  2. Step 2: Convert to fraction form
    1,634.80/2,454.05 = 661.59/x
  3. Step 3: Cross multiply
    1,634.80x = 2,454.05 × 661.59
  4. Step 4: Simplify right side
    1,634.80x = 1,623,574.94
  5. Step 5: Solve for x
    x = 1,623,574.94/1,634.80
  6. Step 6: Final answer
    x = 993.13

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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.