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Finding the Fourth Proportional to 2,448.28, 3,670.80 and 985.60

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Solution

The fourth proportional to 2,448.28, 3,670.80 and 985.60 is: 1,477.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.28 : 3,670.80 = 985.60 : x
  2. Step 2: Convert to fraction form
    2,448.28/3,670.80 = 985.60/x
  3. Step 3: Cross multiply
    2,448.28x = 3,670.80 × 985.60
  4. Step 4: Simplify right side
    2,448.28x = 3,617,940.48
  5. Step 5: Solve for x
    x = 3,617,940.48/2,448.28
  6. Step 6: Final answer
    x = 1,477.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.