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Finding the Fourth Proportional to 1,771.92, 2,445.17 and 985.95

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Solution

The fourth proportional to 1,771.92, 2,445.17 and 985.95 is: 1,360.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.92 : 2,445.17 = 985.95 : x
  2. Step 2: Convert to fraction form
    1,771.92/2,445.17 = 985.95/x
  3. Step 3: Cross multiply
    1,771.92x = 2,445.17 × 985.95
  4. Step 4: Simplify right side
    1,771.92x = 2,410,810.43
  5. Step 5: Solve for x
    x = 2,410,810.43/1,771.92
  6. Step 6: Final answer
    x = 1,360.56

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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.