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Finding the Fourth Proportional to 2,976.86, 4,465.37 and 896.87

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Solution

The fourth proportional to 2,976.86, 4,465.37 and 896.87 is: 1,345.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.86 : 4,465.37 = 896.87 : x
  2. Step 2: Convert to fraction form
    2,976.86/4,465.37 = 896.87/x
  3. Step 3: Cross multiply
    2,976.86x = 4,465.37 × 896.87
  4. Step 4: Simplify right side
    2,976.86x = 4,004,834.07
  5. Step 5: Solve for x
    x = 4,004,834.07/2,976.86
  6. Step 6: Final answer
    x = 1,345.32

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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.