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Finding the Fourth Proportional to 2,545.51, 3,512.92 and 1,426.47

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Solution

The fourth proportional to 2,545.51, 3,512.92 and 1,426.47 is: 1,968.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.51 : 3,512.92 = 1,426.47 : x
  2. Step 2: Convert to fraction form
    2,545.51/3,512.92 = 1,426.47/x
  3. Step 3: Cross multiply
    2,545.51x = 3,512.92 × 1,426.47
  4. Step 4: Simplify right side
    2,545.51x = 5,011,074.99
  5. Step 5: Solve for x
    x = 5,011,074.99/2,545.51
  6. Step 6: Final answer
    x = 1,968.59

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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.