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Finding the Fourth Proportional to 1,475.91, 2,036.43 and 846.38

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Solution

The fourth proportional to 1,475.91, 2,036.43 and 846.38 is: 1,167.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.91 : 2,036.43 = 846.38 : x
  2. Step 2: Convert to fraction form
    1,475.91/2,036.43 = 846.38/x
  3. Step 3: Cross multiply
    1,475.91x = 2,036.43 × 846.38
  4. Step 4: Simplify right side
    1,475.91x = 1,723,583.44
  5. Step 5: Solve for x
    x = 1,723,583.44/1,475.91
  6. Step 6: Final answer
    x = 1,167.81

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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.