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Finding the Fourth Proportional to 2,804.73, 4,207.10 and 956.04

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Solution

The fourth proportional to 2,804.73, 4,207.10 and 956.04 is: 1,434.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.73 : 4,207.10 = 956.04 : x
  2. Step 2: Convert to fraction form
    2,804.73/4,207.10 = 956.04/x
  3. Step 3: Cross multiply
    2,804.73x = 4,207.10 × 956.04
  4. Step 4: Simplify right side
    2,804.73x = 4,022,151.10
  5. Step 5: Solve for x
    x = 4,022,151.10/2,804.73
  6. Step 6: Final answer
    x = 1,434.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.