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Finding the Fourth Proportional to 1,477.41, 2,216.19 and 381.78

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Solution

The fourth proportional to 1,477.41, 2,216.19 and 381.78 is: 572.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.41 : 2,216.19 = 381.78 : x
  2. Step 2: Convert to fraction form
    1,477.41/2,216.19 = 381.78/x
  3. Step 3: Cross multiply
    1,477.41x = 2,216.19 × 381.78
  4. Step 4: Simplify right side
    1,477.41x = 846,097.02
  5. Step 5: Solve for x
    x = 846,097.02/1,477.41
  6. Step 6: Final answer
    x = 572.69

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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.