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Finding the Fourth Proportional to 1,475.24, 2,035.38 and 854.12

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Solution

The fourth proportional to 1,475.24, 2,035.38 and 854.12 is: 1,178.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.24 : 2,035.38 = 854.12 : x
  2. Step 2: Convert to fraction form
    1,475.24/2,035.38 = 854.12/x
  3. Step 3: Cross multiply
    1,475.24x = 2,035.38 × 854.12
  4. Step 4: Simplify right side
    1,475.24x = 1,738,458.77
  5. Step 5: Solve for x
    x = 1,738,458.77/1,475.24
  6. Step 6: Final answer
    x = 1,178.42

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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.