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Finding the Fourth Proportional to 1,411.97, 1,947.84 and 940.08

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Solution

The fourth proportional to 1,411.97, 1,947.84 and 940.08 is: 1,296.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.97 : 1,947.84 = 940.08 : x
  2. Step 2: Convert to fraction form
    1,411.97/1,947.84 = 940.08/x
  3. Step 3: Cross multiply
    1,411.97x = 1,947.84 × 940.08
  4. Step 4: Simplify right side
    1,411.97x = 1,831,125.43
  5. Step 5: Solve for x
    x = 1,831,125.43/1,411.97
  6. Step 6: Final answer
    x = 1,296.86

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Why These Related Problems?

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