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Finding the Fourth Proportional to 1,382.61, 2,073.55 and 943.78

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Solution

The fourth proportional to 1,382.61, 2,073.55 and 943.78 is: 1,415.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.61 : 2,073.55 = 943.78 : x
  2. Step 2: Convert to fraction form
    1,382.61/2,073.55 = 943.78/x
  3. Step 3: Cross multiply
    1,382.61x = 2,073.55 × 943.78
  4. Step 4: Simplify right side
    1,382.61x = 1,956,980.03
  5. Step 5: Solve for x
    x = 1,956,980.03/1,382.61
  6. Step 6: Final answer
    x = 1,415.42

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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.