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Finding the Fourth Proportional to 2,148.51, 2,965.49 and 1,264.92

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Solution

The fourth proportional to 2,148.51, 2,965.49 and 1,264.92 is: 1,745.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.51 : 2,965.49 = 1,264.92 : x
  2. Step 2: Convert to fraction form
    2,148.51/2,965.49 = 1,264.92/x
  3. Step 3: Cross multiply
    2,148.51x = 2,965.49 × 1,264.92
  4. Step 4: Simplify right side
    2,148.51x = 3,751,101.29
  5. Step 5: Solve for x
    x = 3,751,101.29/2,148.51
  6. Step 6: Final answer
    x = 1,745.91

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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.