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Finding the Fourth Proportional to 1,641.14, 2,264.73 and 942.74

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Solution

The fourth proportional to 1,641.14, 2,264.73 and 942.74 is: 1,300.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.14 : 2,264.73 = 942.74 : x
  2. Step 2: Convert to fraction form
    1,641.14/2,264.73 = 942.74/x
  3. Step 3: Cross multiply
    1,641.14x = 2,264.73 × 942.74
  4. Step 4: Simplify right side
    1,641.14x = 2,135,051.56
  5. Step 5: Solve for x
    x = 2,135,051.56/1,641.14
  6. Step 6: Final answer
    x = 1,300.96

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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.