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Finding the Fourth Proportional to 4,150.53, 6,225.80 and 1,228.80

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Solution

The fourth proportional to 4,150.53, 6,225.80 and 1,228.80 is: 1,843.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,150.53 : 6,225.80 = 1,228.80 : x
  2. Step 2: Convert to fraction form
    4,150.53/6,225.80 = 1,228.80/x
  3. Step 3: Cross multiply
    4,150.53x = 6,225.80 × 1,228.80
  4. Step 4: Simplify right side
    4,150.53x = 7,650,263.04
  5. Step 5: Solve for x
    x = 7,650,263.04/4,150.53
  6. Step 6: Final answer
    x = 1,843.20

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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.