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Finding the Fourth Proportional to 1,627.60, 2,245.98 and 928.96

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Solution

The fourth proportional to 1,627.60, 2,245.98 and 928.96 is: 1,281.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.60 : 2,245.98 = 928.96 : x
  2. Step 2: Convert to fraction form
    1,627.60/2,245.98 = 928.96/x
  3. Step 3: Cross multiply
    1,627.60x = 2,245.98 × 928.96
  4. Step 4: Simplify right side
    1,627.60x = 2,086,425.58
  5. Step 5: Solve for x
    x = 2,086,425.58/1,627.60
  6. Step 6: Final answer
    x = 1,281.90

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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.