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Finding the Fourth Proportional to 2,545.65, 3,512.91 and 1,426.77

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Solution

The fourth proportional to 2,545.65, 3,512.91 and 1,426.77 is: 1,968.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.65 : 3,512.91 = 1,426.77 : x
  2. Step 2: Convert to fraction form
    2,545.65/3,512.91 = 1,426.77/x
  3. Step 3: Cross multiply
    2,545.65x = 3,512.91 × 1,426.77
  4. Step 4: Simplify right side
    2,545.65x = 5,012,114.60
  5. Step 5: Solve for x
    x = 5,012,114.60/2,545.65
  6. Step 6: Final answer
    x = 1,968.89

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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.