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Finding the Fourth Proportional to 1,641.15, 2,264.73 and 1,011.94

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Solution

The fourth proportional to 1,641.15, 2,264.73 and 1,011.94 is: 1,396.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.15 : 2,264.73 = 1,011.94 : x
  2. Step 2: Convert to fraction form
    1,641.15/2,264.73 = 1,011.94/x
  3. Step 3: Cross multiply
    1,641.15x = 2,264.73 × 1,011.94
  4. Step 4: Simplify right side
    1,641.15x = 2,291,765.21
  5. Step 5: Solve for x
    x = 2,291,765.21/1,641.15
  6. Step 6: Final answer
    x = 1,396.44

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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.