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Finding the Fourth Proportional to 3,101.31, 4,651.06 and 909.52

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Solution

The fourth proportional to 3,101.31, 4,651.06 and 909.52 is: 1,364.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.31 : 4,651.06 = 909.52 : x
  2. Step 2: Convert to fraction form
    3,101.31/4,651.06 = 909.52/x
  3. Step 3: Cross multiply
    3,101.31x = 4,651.06 × 909.52
  4. Step 4: Simplify right side
    3,101.31x = 4,230,232.09
  5. Step 5: Solve for x
    x = 4,230,232.09/3,101.31
  6. Step 6: Final answer
    x = 1,364.01

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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.