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Finding the Fourth Proportional to 1,411.05, 1,945.97 and 1,211.82

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Solution

The fourth proportional to 1,411.05, 1,945.97 and 1,211.82 is: 1,671.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.05 : 1,945.97 = 1,211.82 : x
  2. Step 2: Convert to fraction form
    1,411.05/1,945.97 = 1,211.82/x
  3. Step 3: Cross multiply
    1,411.05x = 1,945.97 × 1,211.82
  4. Step 4: Simplify right side
    1,411.05x = 2,358,159.31
  5. Step 5: Solve for x
    x = 2,358,159.31/1,411.05
  6. Step 6: Final answer
    x = 1,671.21

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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.