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Finding the Fourth Proportional to 1,415.83, 2,123.78 and 441.94

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Solution

The fourth proportional to 1,415.83, 2,123.78 and 441.94 is: 662.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.83 : 2,123.78 = 441.94 : x
  2. Step 2: Convert to fraction form
    1,415.83/2,123.78 = 441.94/x
  3. Step 3: Cross multiply
    1,415.83x = 2,123.78 × 441.94
  4. Step 4: Simplify right side
    1,415.83x = 938,583.33
  5. Step 5: Solve for x
    x = 938,583.33/1,415.83
  6. Step 6: Final answer
    x = 662.92

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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.