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Finding the Fourth Proportional to 3,049.94, 4,575.72 and 1,407.80

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Solution

The fourth proportional to 3,049.94, 4,575.72 and 1,407.80 is: 2,112.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.94 : 4,575.72 = 1,407.80 : x
  2. Step 2: Convert to fraction form
    3,049.94/4,575.72 = 1,407.80/x
  3. Step 3: Cross multiply
    3,049.94x = 4,575.72 × 1,407.80
  4. Step 4: Simplify right side
    3,049.94x = 6,441,698.62
  5. Step 5: Solve for x
    x = 6,441,698.62/3,049.94
  6. Step 6: Final answer
    x = 2,112.07

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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.