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Finding the Fourth Proportional to 1,465.92, 2,022.84 and 941.04

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Solution

The fourth proportional to 1,465.92, 2,022.84 and 941.04 is: 1,298.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.92 : 2,022.84 = 941.04 : x
  2. Step 2: Convert to fraction form
    1,465.92/2,022.84 = 941.04/x
  3. Step 3: Cross multiply
    1,465.92x = 2,022.84 × 941.04
  4. Step 4: Simplify right side
    1,465.92x = 1,903,573.35
  5. Step 5: Solve for x
    x = 1,903,573.35/1,465.92
  6. Step 6: Final answer
    x = 1,298.55

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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.