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Finding the Fourth Proportional to 1,771.37, 2,444.49 and 985.57

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Solution

The fourth proportional to 1,771.37, 2,444.49 and 985.57 is: 1,360.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.37 : 2,444.49 = 985.57 : x
  2. Step 2: Convert to fraction form
    1,771.37/2,444.49 = 985.57/x
  3. Step 3: Cross multiply
    1,771.37x = 2,444.49 × 985.57
  4. Step 4: Simplify right side
    1,771.37x = 2,409,216.01
  5. Step 5: Solve for x
    x = 2,409,216.01/1,771.37
  6. Step 6: Final answer
    x = 1,360.09

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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.