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Finding the Fourth Proportional to 1,935.41, 2,670.25 and 1,138.48

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Solution

The fourth proportional to 1,935.41, 2,670.25 and 1,138.48 is: 1,570.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935.41 : 2,670.25 = 1,138.48 : x
  2. Step 2: Convert to fraction form
    1,935.41/2,670.25 = 1,138.48/x
  3. Step 3: Cross multiply
    1,935.41x = 2,670.25 × 1,138.48
  4. Step 4: Simplify right side
    1,935.41x = 3,040,026.22
  5. Step 5: Solve for x
    x = 3,040,026.22/1,935.41
  6. Step 6: Final answer
    x = 1,570.74

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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.