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Finding the Fourth Proportional to 1,671.34, 2,306.82 and 973.12

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Solution

The fourth proportional to 1,671.34, 2,306.82 and 973.12 is: 1,343.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.34 : 2,306.82 = 973.12 : x
  2. Step 2: Convert to fraction form
    1,671.34/2,306.82 = 973.12/x
  3. Step 3: Cross multiply
    1,671.34x = 2,306.82 × 973.12
  4. Step 4: Simplify right side
    1,671.34x = 2,244,812.68
  5. Step 5: Solve for x
    x = 2,244,812.68/1,671.34
  6. Step 6: Final answer
    x = 1,343.12

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