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Finding the Fourth Proportional to 3,168.16, 4,752.77 and 976.84

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Solution

The fourth proportional to 3,168.16, 4,752.77 and 976.84 is: 1,465.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,168.16 : 4,752.77 = 976.84 : x
  2. Step 2: Convert to fraction form
    3,168.16/4,752.77 = 976.84/x
  3. Step 3: Cross multiply
    3,168.16x = 4,752.77 × 976.84
  4. Step 4: Simplify right side
    3,168.16x = 4,642,695.85
  5. Step 5: Solve for x
    x = 4,642,695.85/3,168.16
  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.