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Finding the Fourth Proportional to 1,627.57, 2,246.06 and 928.95

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Solution

The fourth proportional to 1,627.57, 2,246.06 and 928.95 is: 1,281.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.57 : 2,246.06 = 928.95 : x
  2. Step 2: Convert to fraction form
    1,627.57/2,246.06 = 928.95/x
  3. Step 3: Cross multiply
    1,627.57x = 2,246.06 × 928.95
  4. Step 4: Simplify right side
    1,627.57x = 2,086,477.44
  5. Step 5: Solve for x
    x = 2,086,477.44/1,627.57
  6. Step 6: Final answer
    x = 1,281.96

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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.