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Finding the Fourth Proportional to 3,168.53, 4,753.31 and 976.75

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Solution

The fourth proportional to 3,168.53, 4,753.31 and 976.75 is: 1,465.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,168.53 : 4,753.31 = 976.75 : x
  2. Step 2: Convert to fraction form
    3,168.53/4,753.31 = 976.75/x
  3. Step 3: Cross multiply
    3,168.53x = 4,753.31 × 976.75
  4. Step 4: Simplify right side
    3,168.53x = 4,642,774.84
  5. Step 5: Solve for x
    x = 4,642,774.84/3,168.53
  6. Step 6: Final answer
    x = 1,465.28

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1.5x scale

Why These Related Problems?

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