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Finding the Fourth Proportional to 2,931.34, 4,396.88 and 851.30

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Solution

The fourth proportional to 2,931.34, 4,396.88 and 851.30 is: 1,276.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931.34 : 4,396.88 = 851.30 : x
  2. Step 2: Convert to fraction form
    2,931.34/4,396.88 = 851.30/x
  3. Step 3: Cross multiply
    2,931.34x = 4,396.88 × 851.30
  4. Step 4: Simplify right side
    2,931.34x = 3,743,060.58
  5. Step 5: Solve for x
    x = 3,743,060.58/2,931.34
  6. Step 6: Final answer
    x = 1,276.91

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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.