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Finding the Fourth Proportional to 2,363.05, 3,545.16 and 976.78

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Solution

The fourth proportional to 2,363.05, 3,545.16 and 976.78 is: 1,465.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.05 : 3,545.16 = 976.78 : x
  2. Step 2: Convert to fraction form
    2,363.05/3,545.16 = 976.78/x
  3. Step 3: Cross multiply
    2,363.05x = 3,545.16 × 976.78
  4. Step 4: Simplify right side
    2,363.05x = 3,462,846.58
  5. Step 5: Solve for x
    x = 3,462,846.58/2,363.05
  6. Step 6: Final answer
    x = 1,465.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.