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Finding the Fourth Proportional to 1,475.45, 2,212.46 and 859.37

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Solution

The fourth proportional to 1,475.45, 2,212.46 and 859.37 is: 1,288.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.45 : 2,212.46 = 859.37 : x
  2. Step 2: Convert to fraction form
    1,475.45/2,212.46 = 859.37/x
  3. Step 3: Cross multiply
    1,475.45x = 2,212.46 × 859.37
  4. Step 4: Simplify right side
    1,475.45x = 1,901,317.45
  5. Step 5: Solve for x
    x = 1,901,317.45/1,475.45
  6. Step 6: Final answer
    x = 1,288.64

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