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Finding the Fourth Proportional to 1,706.47, 2,354.92 and 998.35

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Solution

The fourth proportional to 1,706.47, 2,354.92 and 998.35 is: 1,377.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.47 : 2,354.92 = 998.35 : x
  2. Step 2: Convert to fraction form
    1,706.47/2,354.92 = 998.35/x
  3. Step 3: Cross multiply
    1,706.47x = 2,354.92 × 998.35
  4. Step 4: Simplify right side
    1,706.47x = 2,351,026.00
  5. Step 5: Solve for x
    x = 2,351,026.00/1,706.47
  6. Step 6: Final answer
    x = 1,377.72

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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.