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Finding the Fourth Proportional to 2,813.76, 4,235.28 and 2,545.44

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Solution

The fourth proportional to 2,813.76, 4,235.28 and 2,545.44 is: 3,831.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.76 : 4,235.28 = 2,545.44 : x
  2. Step 2: Convert to fraction form
    2,813.76/4,235.28 = 2,545.44/x
  3. Step 3: Cross multiply
    2,813.76x = 4,235.28 × 2,545.44
  4. Step 4: Simplify right side
    2,813.76x = 10,780,651.12
  5. Step 5: Solve for x
    x = 10,780,651.12/2,813.76
  6. Step 6: Final answer
    x = 3,831.40

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.