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Finding the Fourth Proportional to 1,837.68, 2,754 and 1,057.92

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Solution

The fourth proportional to 1,837.68, 2,754 and 1,057.92 is: 1,585.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837.68 : 2,754 = 1,057.92 : x
  2. Step 2: Convert to fraction form
    1,837.68/2,754 = 1,057.92/x
  3. Step 3: Cross multiply
    1,837.68x = 2,754 × 1,057.92
  4. Step 4: Simplify right side
    1,837.68x = 2,913,511.68
  5. Step 5: Solve for x
    x = 2,913,511.68/1,837.68
  6. Step 6: Final answer
    x = 1,585.43

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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.