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Finding the Fourth Proportional to 1,671.14, 2,306.43 and 998.72

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Solution

The fourth proportional to 1,671.14, 2,306.43 and 998.72 is: 1,378.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.14 : 2,306.43 = 998.72 : x
  2. Step 2: Convert to fraction form
    1,671.14/2,306.43 = 998.72/x
  3. Step 3: Cross multiply
    1,671.14x = 2,306.43 × 998.72
  4. Step 4: Simplify right side
    1,671.14x = 2,303,466.24
  5. Step 5: Solve for x
    x = 2,303,466.24/1,671.14
  6. Step 6: Final answer
    x = 1,378.38

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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.