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Finding the Fourth Proportional to 1,415.36, 2,122.21 and 427.88

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Solution

The fourth proportional to 1,415.36, 2,122.21 and 427.88 is: 641.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.36 : 2,122.21 = 427.88 : x
  2. Step 2: Convert to fraction form
    1,415.36/2,122.21 = 427.88/x
  3. Step 3: Cross multiply
    1,415.36x = 2,122.21 × 427.88
  4. Step 4: Simplify right side
    1,415.36x = 908,042.71
  5. Step 5: Solve for x
    x = 908,042.71/1,415.36
  6. Step 6: Final answer
    x = 641.56

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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.