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Finding the Fourth Proportional to 2,654.46, 3,661.53 and 1,711.50

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Solution

The fourth proportional to 2,654.46, 3,661.53 and 1,711.50 is: 2,360.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.46 : 3,661.53 = 1,711.50 : x
  2. Step 2: Convert to fraction form
    2,654.46/3,661.53 = 1,711.50/x
  3. Step 3: Cross multiply
    2,654.46x = 3,661.53 × 1,711.50
  4. Step 4: Simplify right side
    2,654.46x = 6,266,708.60
  5. Step 5: Solve for x
    x = 6,266,708.60/2,654.46
  6. Step 6: Final answer
    x = 2,360.82

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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.