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Finding the Fourth Proportional to 1,636.23, 2,257.80 and 928.02

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Solution

The fourth proportional to 1,636.23, 2,257.80 and 928.02 is: 1,280.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.23 : 2,257.80 = 928.02 : x
  2. Step 2: Convert to fraction form
    1,636.23/2,257.80 = 928.02/x
  3. Step 3: Cross multiply
    1,636.23x = 2,257.80 × 928.02
  4. Step 4: Simplify right side
    1,636.23x = 2,095,283.56
  5. Step 5: Solve for x
    x = 2,095,283.56/1,636.23
  6. Step 6: Final answer
    x = 1,280.56

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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.