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Finding the Fourth Proportional to 3,148.53, 4,722.59 and 957.27

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Solution

The fourth proportional to 3,148.53, 4,722.59 and 957.27 is: 1,435.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148.53 : 4,722.59 = 957.27 : x
  2. Step 2: Convert to fraction form
    3,148.53/4,722.59 = 957.27/x
  3. Step 3: Cross multiply
    3,148.53x = 4,722.59 × 957.27
  4. Step 4: Simplify right side
    3,148.53x = 4,520,800.75
  5. Step 5: Solve for x
    x = 4,520,800.75/3,148.53
  6. Step 6: Final answer
    x = 1,435.85

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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.