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Finding the Fourth Proportional to 1,477.67, 2,216.32 and 381.94

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Solution

The fourth proportional to 1,477.67, 2,216.32 and 381.94 is: 572.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.67 : 2,216.32 = 381.94 : x
  2. Step 2: Convert to fraction form
    1,477.67/2,216.32 = 381.94/x
  3. Step 3: Cross multiply
    1,477.67x = 2,216.32 × 381.94
  4. Step 4: Simplify right side
    1,477.67x = 846,505.22
  5. Step 5: Solve for x
    x = 846,505.22/1,477.67
  6. Step 6: Final answer
    x = 572.87

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Why These Related Problems?

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