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Finding the Fourth Proportional to 1,477.81, 2,216.83 and 382.19

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Solution

The fourth proportional to 1,477.81, 2,216.83 and 382.19 is: 573.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.81 : 2,216.83 = 382.19 : x
  2. Step 2: Convert to fraction form
    1,477.81/2,216.83 = 382.19/x
  3. Step 3: Cross multiply
    1,477.81x = 2,216.83 × 382.19
  4. Step 4: Simplify right side
    1,477.81x = 847,252.48
  5. Step 5: Solve for x
    x = 847,252.48/1,477.81
  6. Step 6: Final answer
    x = 573.32

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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.