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Finding the Fourth Proportional to 2,191.64, 3,024.46 and 1,405.69

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Solution

The fourth proportional to 2,191.64, 3,024.46 and 1,405.69 is: 1,939.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.64 : 3,024.46 = 1,405.69 : x
  2. Step 2: Convert to fraction form
    2,191.64/3,024.46 = 1,405.69/x
  3. Step 3: Cross multiply
    2,191.64x = 3,024.46 × 1,405.69
  4. Step 4: Simplify right side
    2,191.64x = 4,251,453.18
  5. Step 5: Solve for x
    x = 4,251,453.18/2,191.64
  6. Step 6: Final answer
    x = 1,939.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.