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Finding the Fourth Proportional to 1,671.71, 2,306.99 and 973.09

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Solution

The fourth proportional to 1,671.71, 2,306.99 and 973.09 is: 1,342.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.71 : 2,306.99 = 973.09 : x
  2. Step 2: Convert to fraction form
    1,671.71/2,306.99 = 973.09/x
  3. Step 3: Cross multiply
    1,671.71x = 2,306.99 × 973.09
  4. Step 4: Simplify right side
    1,671.71x = 2,244,908.90
  5. Step 5: Solve for x
    x = 2,244,908.90/1,671.71
  6. Step 6: Final answer
    x = 1,342.88

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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.