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Finding the Fourth Proportional to 1,517.77, 2,094.15 and 928.09

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Solution

The fourth proportional to 1,517.77, 2,094.15 and 928.09 is: 1,280.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.77 : 2,094.15 = 928.09 : x
  2. Step 2: Convert to fraction form
    1,517.77/2,094.15 = 928.09/x
  3. Step 3: Cross multiply
    1,517.77x = 2,094.15 × 928.09
  4. Step 4: Simplify right side
    1,517.77x = 1,943,559.67
  5. Step 5: Solve for x
    x = 1,943,559.67/1,517.77
  6. Step 6: Final answer
    x = 1,280.54

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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.