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Finding the Fourth Proportional to 3,101.30, 4,652.38 and 909.72

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Solution

The fourth proportional to 3,101.30, 4,652.38 and 909.72 is: 1,364.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.30 : 4,652.38 = 909.72 : x
  2. Step 2: Convert to fraction form
    3,101.30/4,652.38 = 909.72/x
  3. Step 3: Cross multiply
    3,101.30x = 4,652.38 × 909.72
  4. Step 4: Simplify right side
    3,101.30x = 4,232,363.13
  5. Step 5: Solve for x
    x = 4,232,363.13/3,101.30
  6. Step 6: Final answer
    x = 1,364.71

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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.