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Finding the Fourth Proportional to 1,924.41, 2,655.81 and 1,451.47

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Solution

The fourth proportional to 1,924.41, 2,655.81 and 1,451.47 is: 2,003.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.41 : 2,655.81 = 1,451.47 : x
  2. Step 2: Convert to fraction form
    1,924.41/2,655.81 = 1,451.47/x
  3. Step 3: Cross multiply
    1,924.41x = 2,655.81 × 1,451.47
  4. Step 4: Simplify right side
    1,924.41x = 3,854,828.54
  5. Step 5: Solve for x
    x = 3,854,828.54/1,924.41
  6. Step 6: Final answer
    x = 2,003.12

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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.