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Finding the Fourth Proportional to 3,144.41, 4,716.63 and 953.16

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Solution

The fourth proportional to 3,144.41, 4,716.63 and 953.16 is: 1,429.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.41 : 4,716.63 = 953.16 : x
  2. Step 2: Convert to fraction form
    3,144.41/4,716.63 = 953.16/x
  3. Step 3: Cross multiply
    3,144.41x = 4,716.63 × 953.16
  4. Step 4: Simplify right side
    3,144.41x = 4,495,703.05
  5. Step 5: Solve for x
    x = 4,495,703.05/3,144.41
  6. Step 6: Final answer
    x = 1,429.75

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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.