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Finding the Fourth Proportional to 2,141.93, 3,213.35 and 909.32

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Solution

The fourth proportional to 2,141.93, 3,213.35 and 909.32 is: 1,364.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.93 : 3,213.35 = 909.32 : x
  2. Step 2: Convert to fraction form
    2,141.93/3,213.35 = 909.32/x
  3. Step 3: Cross multiply
    2,141.93x = 3,213.35 × 909.32
  4. Step 4: Simplify right side
    2,141.93x = 2,921,951.33
  5. Step 5: Solve for x
    x = 2,921,951.33/2,141.93
  6. Step 6: Final answer
    x = 1,364.17

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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.