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Finding the Fourth Proportional to 1,475.88, 2,212.26 and 1,109.52

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Solution

The fourth proportional to 1,475.88, 2,212.26 and 1,109.52 is: 1,663.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.88 : 2,212.26 = 1,109.52 : x
  2. Step 2: Convert to fraction form
    1,475.88/2,212.26 = 1,109.52/x
  3. Step 3: Cross multiply
    1,475.88x = 2,212.26 × 1,109.52
  4. Step 4: Simplify right side
    1,475.88x = 2,454,546.72
  5. Step 5: Solve for x
    x = 2,454,546.72/1,475.88
  6. Step 6: Final answer
    x = 1,663.11

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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.