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Finding the Fourth Proportional to 1,771.88, 2,445.26 and 985.91

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Solution

The fourth proportional to 1,771.88, 2,445.26 and 985.91 is: 1,360.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.88 : 2,445.26 = 985.91 : x
  2. Step 2: Convert to fraction form
    1,771.88/2,445.26 = 985.91/x
  3. Step 3: Cross multiply
    1,771.88x = 2,445.26 × 985.91
  4. Step 4: Simplify right side
    1,771.88x = 2,410,789.13
  5. Step 5: Solve for x
    x = 2,410,789.13/1,771.88
  6. Step 6: Final answer
    x = 1,360.59

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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.