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Finding the Fourth Proportional to 1,505.62, 2,077.43 and 946.21

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Solution

The fourth proportional to 1,505.62, 2,077.43 and 946.21 is: 1,305.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.62 : 2,077.43 = 946.21 : x
  2. Step 2: Convert to fraction form
    1,505.62/2,077.43 = 946.21/x
  3. Step 3: Cross multiply
    1,505.62x = 2,077.43 × 946.21
  4. Step 4: Simplify right side
    1,505.62x = 1,965,685.04
  5. Step 5: Solve for x
    x = 1,965,685.04/1,505.62
  6. Step 6: Final answer
    x = 1,305.57

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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.