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Finding the Fourth Proportional to 1,475.86, 2,212.60 and 817.72

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Solution

The fourth proportional to 1,475.86, 2,212.60 and 817.72 is: 1,225.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.86 : 2,212.60 = 817.72 : x
  2. Step 2: Convert to fraction form
    1,475.86/2,212.60 = 817.72/x
  3. Step 3: Cross multiply
    1,475.86x = 2,212.60 × 817.72
  4. Step 4: Simplify right side
    1,475.86x = 1,809,287.27
  5. Step 5: Solve for x
    x = 1,809,287.27/1,475.86
  6. Step 6: Final answer
    x = 1,225.92

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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.