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Finding the Fourth Proportional to 1,771.52, 2,444.42 and 985.54

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Solution

The fourth proportional to 1,771.52, 2,444.42 and 985.54 is: 1,359.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.52 : 2,444.42 = 985.54 : x
  2. Step 2: Convert to fraction form
    1,771.52/2,444.42 = 985.54/x
  3. Step 3: Cross multiply
    1,771.52x = 2,444.42 × 985.54
  4. Step 4: Simplify right side
    1,771.52x = 2,409,073.69
  5. Step 5: Solve for x
    x = 2,409,073.69/1,771.52
  6. Step 6: Final answer
    x = 1,359.89

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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.