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Finding the Fourth Proportional to 3,100.84, 4,651.20 and 909.52

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Solution

The fourth proportional to 3,100.84, 4,651.20 and 909.52 is: 1,364.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.84 : 4,651.20 = 909.52 : x
  2. Step 2: Convert to fraction form
    3,100.84/4,651.20 = 909.52/x
  3. Step 3: Cross multiply
    3,100.84x = 4,651.20 × 909.52
  4. Step 4: Simplify right side
    3,100.84x = 4,230,373.33
  5. Step 5: Solve for x
    x = 4,230,373.33/3,100.84
  6. Step 6: Final answer
    x = 1,364.27

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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.