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Finding the Fourth Proportional to 3,090.92, 4,637.78 and 1,448.54

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Solution

The fourth proportional to 3,090.92, 4,637.78 and 1,448.54 is: 2,173.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090.92 : 4,637.78 = 1,448.54 : x
  2. Step 2: Convert to fraction form
    3,090.92/4,637.78 = 1,448.54/x
  3. Step 3: Cross multiply
    3,090.92x = 4,637.78 × 1,448.54
  4. Step 4: Simplify right side
    3,090.92x = 6,717,979.41
  5. Step 5: Solve for x
    x = 6,717,979.41/3,090.92
  6. Step 6: Final answer
    x = 2,173.46

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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.