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Finding the Fourth Proportional to 1,734.82, 2,394.06 and 988.64

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Solution

The fourth proportional to 1,734.82, 2,394.06 and 988.64 is: 1,364.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.82 : 2,394.06 = 988.64 : x
  2. Step 2: Convert to fraction form
    1,734.82/2,394.06 = 988.64/x
  3. Step 3: Cross multiply
    1,734.82x = 2,394.06 × 988.64
  4. Step 4: Simplify right side
    1,734.82x = 2,366,863.48
  5. Step 5: Solve for x
    x = 2,366,863.48/1,734.82
  6. Step 6: Final answer
    x = 1,364.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.