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Finding the Fourth Proportional to 2,453.60, 3,661.48 and 2,021.60

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Solution

The fourth proportional to 2,453.60, 3,661.48 and 2,021.60 is: 3,016.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.60 : 3,661.48 = 2,021.60 : x
  2. Step 2: Convert to fraction form
    2,453.60/3,661.48 = 2,021.60/x
  3. Step 3: Cross multiply
    2,453.60x = 3,661.48 × 2,021.60
  4. Step 4: Simplify right side
    2,453.60x = 7,402,047.97
  5. Step 5: Solve for x
    x = 7,402,047.97/2,453.60
  6. Step 6: Final answer
    x = 3,016.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.