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Finding the Fourth Proportional to 3,182.48, 4,773.72 and 1,948.88

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Solution

The fourth proportional to 3,182.48, 4,773.72 and 1,948.88 is: 2,923.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.48 : 4,773.72 = 1,948.88 : x
  2. Step 2: Convert to fraction form
    3,182.48/4,773.72 = 1,948.88/x
  3. Step 3: Cross multiply
    3,182.48x = 4,773.72 × 1,948.88
  4. Step 4: Simplify right side
    3,182.48x = 9,303,407.43
  5. Step 5: Solve for x
    x = 9,303,407.43/3,182.48
  6. Step 6: Final answer
    x = 2,923.32

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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.