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Finding the Fourth Proportional to 1,970.34, 2,954.72 and 873.96

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Solution

The fourth proportional to 1,970.34, 2,954.72 and 873.96 is: 1,310.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.34 : 2,954.72 = 873.96 : x
  2. Step 2: Convert to fraction form
    1,970.34/2,954.72 = 873.96/x
  3. Step 3: Cross multiply
    1,970.34x = 2,954.72 × 873.96
  4. Step 4: Simplify right side
    1,970.34x = 2,582,302.72
  5. Step 5: Solve for x
    x = 2,582,302.72/1,970.34
  6. Step 6: Final answer
    x = 1,310.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.