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Finding the Fourth Proportional to 2,545.44, 3,512.64 and 1,426.32

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Solution

The fourth proportional to 2,545.44, 3,512.64 and 1,426.32 is: 1,968.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.44 : 3,512.64 = 1,426.32 : x
  2. Step 2: Convert to fraction form
    2,545.44/3,512.64 = 1,426.32/x
  3. Step 3: Cross multiply
    2,545.44x = 3,512.64 × 1,426.32
  4. Step 4: Simplify right side
    2,545.44x = 5,010,148.68
  5. Step 5: Solve for x
    x = 5,010,148.68/2,545.44
  6. Step 6: Final answer
    x = 1,968.28

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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.