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Finding the Fourth Proportional to 2,448.47, 3,380.64 and 1,505.52

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Solution

The fourth proportional to 2,448.47, 3,380.64 and 1,505.52 is: 2,078.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.47 : 3,380.64 = 1,505.52 : x
  2. Step 2: Convert to fraction form
    2,448.47/3,380.64 = 1,505.52/x
  3. Step 3: Cross multiply
    2,448.47x = 3,380.64 × 1,505.52
  4. Step 4: Simplify right side
    2,448.47x = 5,089,621.13
  5. Step 5: Solve for x
    x = 5,089,621.13/2,448.47
  6. Step 6: Final answer
    x = 2,078.70

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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.