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Finding the Fourth Proportional to 1,771.48, 2,444.61 and 985.52

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Solution

The fourth proportional to 1,771.48, 2,444.61 and 985.52 is: 1,360.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.48 : 2,444.61 = 985.52 : x
  2. Step 2: Convert to fraction form
    1,771.48/2,444.61 = 985.52/x
  3. Step 3: Cross multiply
    1,771.48x = 2,444.61 × 985.52
  4. Step 4: Simplify right side
    1,771.48x = 2,409,212.05
  5. Step 5: Solve for x
    x = 2,409,212.05/1,771.48
  6. Step 6: Final answer
    x = 1,360.00

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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.