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Finding the Fourth Proportional to 3,168.15, 4,752.99 and 976.92

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Solution

The fourth proportional to 3,168.15, 4,752.99 and 976.92 is: 1,465.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,168.15 : 4,752.99 = 976.92 : x
  2. Step 2: Convert to fraction form
    3,168.15/4,752.99 = 976.92/x
  3. Step 3: Cross multiply
    3,168.15x = 4,752.99 × 976.92
  4. Step 4: Simplify right side
    3,168.15x = 4,643,290.99
  5. Step 5: Solve for x
    x = 4,643,290.99/3,168.15
  6. Step 6: Final answer
    x = 1,465.62

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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.