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Finding the Fourth Proportional to 2,544.48, 3,816.30 and 985.20

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Solution

The fourth proportional to 2,544.48, 3,816.30 and 985.20 is: 1,477.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544.48 : 3,816.30 = 985.20 : x
  2. Step 2: Convert to fraction form
    2,544.48/3,816.30 = 985.20/x
  3. Step 3: Cross multiply
    2,544.48x = 3,816.30 × 985.20
  4. Step 4: Simplify right side
    2,544.48x = 3,759,818.76
  5. Step 5: Solve for x
    x = 3,759,818.76/2,544.48
  6. Step 6: Final answer
    x = 1,477.64

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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.