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Finding the Fourth Proportional to 2,128.60, 3,192.72 and 895.96

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Solution

The fourth proportional to 2,128.60, 3,192.72 and 895.96 is: 1,343.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.60 : 3,192.72 = 895.96 : x
  2. Step 2: Convert to fraction form
    2,128.60/3,192.72 = 895.96/x
  3. Step 3: Cross multiply
    2,128.60x = 3,192.72 × 895.96
  4. Step 4: Simplify right side
    2,128.60x = 2,860,549.41
  5. Step 5: Solve for x
    x = 2,860,549.41/2,128.60
  6. Step 6: Final answer
    x = 1,343.86

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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.